On the Approximation of Bounded Functions with Discontinuities of the First Kind by Generalized Shepard Operators

Abstract The authors investigate the approximation of bounded functions with discontinuities of the first kind by generalized Shepard operators. Estimate for the rate of convergence at a continuity point is obtained, while at the points of discontinuity it is shown that the sequence of generalized S...
Ausführliche Beschreibung

Gespeichert in:

Autor*in:	Bojanic, R. [verfasserIn] della Vecchia, B. Mastroianni, G.

Format:	Artikel
Sprache:	Englisch

Erschienen:	1999

Schlagwörter:	Bounded Function Continuity Point Shepard Operator

Anmerkung:	© Kluwer Academic Publishers 1999

Übergeordnetes Werk:	Enthalten in: Acta mathematica Hungarica - Kluwer Academic Publishers, 1983, 85(1999), 1-2 vom: März, Seite 29-57
Übergeordnetes Werk:	volume:85 ; year:1999 ; number:1-2 ; month:03 ; pages:29-57

Links:	Volltext

DOI / URN:	10.1023/A:1006612727274

Katalog-ID:	OLC2069888932

Internformat


LEADER	01000caa a22002652 4500
001	OLC2069888932
003	DE-627
005	20230502201301.0
007	tu
008	200820s1999 xx \|\|\|\|\| 00\| \|\|eng c
024	7		\|a 10.1023/A:1006612727274 \|2 doi
035			\|a (DE-627)OLC2069888932
035			\|a (DE-He213)A:1006612727274-p
040			\|a DE-627 \|b ger \|c DE-627 \|e rakwb
041			\|a eng
082	0	4	\|a 510 \|q VZ
084			\|a 17,1 \|2 ssgn
100	1		\|a Bojanic, R. \|e verfasserin \|4 aut
245	1	0	\|a On the Approximation of Bounded Functions with Discontinuities of the First Kind by Generalized Shepard Operators
264		1	\|c 1999
336			\|a Text \|b txt \|2 rdacontent
337			\|a ohne Hilfsmittel zu benutzen \|b n \|2 rdamedia
338			\|a Band \|b nc \|2 rdacarrier
500			\|a © Kluwer Academic Publishers 1999
520			\|a Abstract The authors investigate the approximation of bounded functions with discontinuities of the first kind by generalized Shepard operators. Estimate for the rate of convergence at a continuity point is obtained, while at the points of discontinuity it is shown that the sequence of generalized Shepard operators is almost always divergent. It is also shown that the sequence of Cesàro means of generalized Shepard operators is convergent everywhere for bounded functions which have only discontinuities of the first kind in [0,1].
650		4	\|a Bounded Function
650		4	\|a Continuity Point
650		4	\|a Shepard Operator
700	1		\|a della Vecchia, B. \|4 aut
700	1		\|a Mastroianni, G. \|4 aut
773	0	8	\|i Enthalten in \|t Acta mathematica Hungarica \|d Kluwer Academic Publishers, 1983 \|g 85(1999), 1-2 vom: März, Seite 29-57 \|w (DE-627)130395986 \|w (DE-600)602393-9 \|w (DE-576)015898156 \|x 0001-5954 \|7 nnns
773	1	8	\|g volume:85 \|g year:1999 \|g number:1-2 \|g month:03 \|g pages:29-57
856	4	1	\|u https://doi.org/10.1023/A:1006612727274 \|z lizenzpflichtig \|3 Volltext
912			\|a GBV_USEFLAG_A
912			\|a SYSFLAG_A
912			\|a GBV_OLC
912			\|a SSG-OLC-MAT
912			\|a SSG-OPC-MAT
912			\|a GBV_ILN_11
912			\|a GBV_ILN_22
912			\|a GBV_ILN_24
912			\|a GBV_ILN_30
912			\|a GBV_ILN_40
912			\|a GBV_ILN_62
912			\|a GBV_ILN_65
912			\|a GBV_ILN_70
912			\|a GBV_ILN_2002
912			\|a GBV_ILN_2004
912			\|a GBV_ILN_2005
912			\|a GBV_ILN_2006
912			\|a GBV_ILN_2020
912			\|a GBV_ILN_2088
912			\|a GBV_ILN_4012
912			\|a GBV_ILN_4306
912			\|a GBV_ILN_4310
912			\|a GBV_ILN_4325
912			\|a GBV_ILN_4700
951			\|a AR
952			\|d 85 \|j 1999 \|e 1-2 \|c 03 \|h 29-57

Indexfelder

author_variant	r b rb v b d vb vbd g m gm
matchkey_str	article:00015954:1999----::nhapoiainfonefntosihicniuteoteisknbg
hierarchy_sort_str	1999
publishDate	1999
allfields	10.1023/A:1006612727274 doi (DE-627)OLC2069888932 (DE-He213)A:1006612727274-p DE-627 ger DE-627 rakwb eng 510 VZ 17,1 ssgn Bojanic, R. verfasserin aut On the Approximation of Bounded Functions with Discontinuities of the First Kind by Generalized Shepard Operators 1999 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Kluwer Academic Publishers 1999 Abstract The authors investigate the approximation of bounded functions with discontinuities of the first kind by generalized Shepard operators. Estimate for the rate of convergence at a continuity point is obtained, while at the points of discontinuity it is shown that the sequence of generalized Shepard operators is almost always divergent. It is also shown that the sequence of Cesàro means of generalized Shepard operators is convergent everywhere for bounded functions which have only discontinuities of the first kind in [0,1]. Bounded Function Continuity Point Shepard Operator della Vecchia, B. aut Mastroianni, G. aut Enthalten in Acta mathematica Hungarica Kluwer Academic Publishers, 1983 85(1999), 1-2 vom: März, Seite 29-57 (DE-627)130395986 (DE-600)602393-9 (DE-576)015898156 0001-5954 nnns volume:85 year:1999 number:1-2 month:03 pages:29-57 https://doi.org/10.1023/A:1006612727274 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_11 GBV_ILN_22 GBV_ILN_24 GBV_ILN_30 GBV_ILN_40 GBV_ILN_62 GBV_ILN_65 GBV_ILN_70 GBV_ILN_2002 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2020 GBV_ILN_2088 GBV_ILN_4012 GBV_ILN_4306 GBV_ILN_4310 GBV_ILN_4325 GBV_ILN_4700 AR 85 1999 1-2 03 29-57
spelling	10.1023/A:1006612727274 doi (DE-627)OLC2069888932 (DE-He213)A:1006612727274-p DE-627 ger DE-627 rakwb eng 510 VZ 17,1 ssgn Bojanic, R. verfasserin aut On the Approximation of Bounded Functions with Discontinuities of the First Kind by Generalized Shepard Operators 1999 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Kluwer Academic Publishers 1999 Abstract The authors investigate the approximation of bounded functions with discontinuities of the first kind by generalized Shepard operators. Estimate for the rate of convergence at a continuity point is obtained, while at the points of discontinuity it is shown that the sequence of generalized Shepard operators is almost always divergent. It is also shown that the sequence of Cesàro means of generalized Shepard operators is convergent everywhere for bounded functions which have only discontinuities of the first kind in [0,1]. Bounded Function Continuity Point Shepard Operator della Vecchia, B. aut Mastroianni, G. aut Enthalten in Acta mathematica Hungarica Kluwer Academic Publishers, 1983 85(1999), 1-2 vom: März, Seite 29-57 (DE-627)130395986 (DE-600)602393-9 (DE-576)015898156 0001-5954 nnns volume:85 year:1999 number:1-2 month:03 pages:29-57 https://doi.org/10.1023/A:1006612727274 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_11 GBV_ILN_22 GBV_ILN_24 GBV_ILN_30 GBV_ILN_40 GBV_ILN_62 GBV_ILN_65 GBV_ILN_70 GBV_ILN_2002 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2020 GBV_ILN_2088 GBV_ILN_4012 GBV_ILN_4306 GBV_ILN_4310 GBV_ILN_4325 GBV_ILN_4700 AR 85 1999 1-2 03 29-57
allfields_unstemmed	10.1023/A:1006612727274 doi (DE-627)OLC2069888932 (DE-He213)A:1006612727274-p DE-627 ger DE-627 rakwb eng 510 VZ 17,1 ssgn Bojanic, R. verfasserin aut On the Approximation of Bounded Functions with Discontinuities of the First Kind by Generalized Shepard Operators 1999 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Kluwer Academic Publishers 1999 Abstract The authors investigate the approximation of bounded functions with discontinuities of the first kind by generalized Shepard operators. Estimate for the rate of convergence at a continuity point is obtained, while at the points of discontinuity it is shown that the sequence of generalized Shepard operators is almost always divergent. It is also shown that the sequence of Cesàro means of generalized Shepard operators is convergent everywhere for bounded functions which have only discontinuities of the first kind in [0,1]. Bounded Function Continuity Point Shepard Operator della Vecchia, B. aut Mastroianni, G. aut Enthalten in Acta mathematica Hungarica Kluwer Academic Publishers, 1983 85(1999), 1-2 vom: März, Seite 29-57 (DE-627)130395986 (DE-600)602393-9 (DE-576)015898156 0001-5954 nnns volume:85 year:1999 number:1-2 month:03 pages:29-57 https://doi.org/10.1023/A:1006612727274 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_11 GBV_ILN_22 GBV_ILN_24 GBV_ILN_30 GBV_ILN_40 GBV_ILN_62 GBV_ILN_65 GBV_ILN_70 GBV_ILN_2002 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2020 GBV_ILN_2088 GBV_ILN_4012 GBV_ILN_4306 GBV_ILN_4310 GBV_ILN_4325 GBV_ILN_4700 AR 85 1999 1-2 03 29-57
allfieldsGer	10.1023/A:1006612727274 doi (DE-627)OLC2069888932 (DE-He213)A:1006612727274-p DE-627 ger DE-627 rakwb eng 510 VZ 17,1 ssgn Bojanic, R. verfasserin aut On the Approximation of Bounded Functions with Discontinuities of the First Kind by Generalized Shepard Operators 1999 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Kluwer Academic Publishers 1999 Abstract The authors investigate the approximation of bounded functions with discontinuities of the first kind by generalized Shepard operators. Estimate for the rate of convergence at a continuity point is obtained, while at the points of discontinuity it is shown that the sequence of generalized Shepard operators is almost always divergent. It is also shown that the sequence of Cesàro means of generalized Shepard operators is convergent everywhere for bounded functions which have only discontinuities of the first kind in [0,1]. Bounded Function Continuity Point Shepard Operator della Vecchia, B. aut Mastroianni, G. aut Enthalten in Acta mathematica Hungarica Kluwer Academic Publishers, 1983 85(1999), 1-2 vom: März, Seite 29-57 (DE-627)130395986 (DE-600)602393-9 (DE-576)015898156 0001-5954 nnns volume:85 year:1999 number:1-2 month:03 pages:29-57 https://doi.org/10.1023/A:1006612727274 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_11 GBV_ILN_22 GBV_ILN_24 GBV_ILN_30 GBV_ILN_40 GBV_ILN_62 GBV_ILN_65 GBV_ILN_70 GBV_ILN_2002 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2020 GBV_ILN_2088 GBV_ILN_4012 GBV_ILN_4306 GBV_ILN_4310 GBV_ILN_4325 GBV_ILN_4700 AR 85 1999 1-2 03 29-57
allfieldsSound	10.1023/A:1006612727274 doi (DE-627)OLC2069888932 (DE-He213)A:1006612727274-p DE-627 ger DE-627 rakwb eng 510 VZ 17,1 ssgn Bojanic, R. verfasserin aut On the Approximation of Bounded Functions with Discontinuities of the First Kind by Generalized Shepard Operators 1999 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Kluwer Academic Publishers 1999 Abstract The authors investigate the approximation of bounded functions with discontinuities of the first kind by generalized Shepard operators. Estimate for the rate of convergence at a continuity point is obtained, while at the points of discontinuity it is shown that the sequence of generalized Shepard operators is almost always divergent. It is also shown that the sequence of Cesàro means of generalized Shepard operators is convergent everywhere for bounded functions which have only discontinuities of the first kind in [0,1]. Bounded Function Continuity Point Shepard Operator della Vecchia, B. aut Mastroianni, G. aut Enthalten in Acta mathematica Hungarica Kluwer Academic Publishers, 1983 85(1999), 1-2 vom: März, Seite 29-57 (DE-627)130395986 (DE-600)602393-9 (DE-576)015898156 0001-5954 nnns volume:85 year:1999 number:1-2 month:03 pages:29-57 https://doi.org/10.1023/A:1006612727274 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_11 GBV_ILN_22 GBV_ILN_24 GBV_ILN_30 GBV_ILN_40 GBV_ILN_62 GBV_ILN_65 GBV_ILN_70 GBV_ILN_2002 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2020 GBV_ILN_2088 GBV_ILN_4012 GBV_ILN_4306 GBV_ILN_4310 GBV_ILN_4325 GBV_ILN_4700 AR 85 1999 1-2 03 29-57
language	English
source	Enthalten in Acta mathematica Hungarica 85(1999), 1-2 vom: März, Seite 29-57 volume:85 year:1999 number:1-2 month:03 pages:29-57
sourceStr	Enthalten in Acta mathematica Hungarica 85(1999), 1-2 vom: März, Seite 29-57 volume:85 year:1999 number:1-2 month:03 pages:29-57
format_phy_str_mv	Article
institution	findex.gbv.de
topic_facet	Bounded Function Continuity Point Shepard Operator
dewey-raw	510
isfreeaccess_bool	false
container_title	Acta mathematica Hungarica
authorswithroles_txt_mv	Bojanic, R. @@aut@@ della Vecchia, B. @@aut@@ Mastroianni, G. @@aut@@
publishDateDaySort_date	1999-03-01T00:00:00Z
hierarchy_top_id	130395986
dewey-sort	3510
id	OLC2069888932
language_de	englisch
fullrecord	<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01000caa a22002652 4500</leader><controlfield tag="001">OLC2069888932</controlfield><controlfield tag="003">DE-627</controlfield><controlfield tag="005">20230502201301.0</controlfield><controlfield tag="007">tu</controlfield><controlfield tag="008">200820s1999 xx \|\|\|\|\| 00\| \|\|eng c</controlfield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1023/A:1006612727274</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-627)OLC2069888932</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-He213)A:1006612727274-p</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-627</subfield><subfield code="b">ger</subfield><subfield code="c">DE-627</subfield><subfield code="e">rakwb</subfield></datafield><datafield tag="041" ind1=" " ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="082" ind1="0" ind2="4"><subfield code="a">510</subfield><subfield code="q">VZ</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">17,1</subfield><subfield code="2">ssgn</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Bojanic, R.</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">On the Approximation of Bounded Functions with Discontinuities of the First Kind by Generalized Shepard Operators</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">1999</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">Text</subfield><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">ohne Hilfsmittel zu benutzen</subfield><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">Band</subfield><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">© Kluwer Academic Publishers 1999</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">Abstract The authors investigate the approximation of bounded functions with discontinuities of the first kind by generalized Shepard operators. Estimate for the rate of convergence at a continuity point is obtained, while at the points of discontinuity it is shown that the sequence of generalized Shepard operators is almost always divergent. It is also shown that the sequence of Cesàro means of generalized Shepard operators is convergent everywhere for bounded functions which have only discontinuities of the first kind in [0,1].</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Bounded Function</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Continuity Point</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Shepard Operator</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">della Vecchia, B.</subfield><subfield code="4">aut</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Mastroianni, G.</subfield><subfield code="4">aut</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Enthalten in</subfield><subfield code="t">Acta mathematica Hungarica</subfield><subfield code="d">Kluwer Academic Publishers, 1983</subfield><subfield code="g">85(1999), 1-2 vom: März, Seite 29-57</subfield><subfield code="w">(DE-627)130395986</subfield><subfield code="w">(DE-600)602393-9</subfield><subfield code="w">(DE-576)015898156</subfield><subfield code="x">0001-5954</subfield><subfield code="7">nnns</subfield></datafield><datafield tag="773" ind1="1" ind2="8"><subfield code="g">volume:85</subfield><subfield code="g">year:1999</subfield><subfield code="g">number:1-2</subfield><subfield code="g">month:03</subfield><subfield code="g">pages:29-57</subfield></datafield><datafield tag="856" ind1="4" ind2="1"><subfield code="u">https://doi.org/10.1023/A:1006612727274</subfield><subfield code="z">lizenzpflichtig</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_USEFLAG_A</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SYSFLAG_A</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_OLC</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SSG-OLC-MAT</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SSG-OPC-MAT</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_11</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_22</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_24</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_30</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_40</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_62</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_65</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_70</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2002</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2004</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2005</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2006</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2020</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2088</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4012</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4306</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4310</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4325</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4700</subfield></datafield><datafield tag="951" ind1=" " ind2=" "><subfield code="a">AR</subfield></datafield><datafield tag="952" ind1=" " ind2=" "><subfield code="d">85</subfield><subfield code="j">1999</subfield><subfield code="e">1-2</subfield><subfield code="c">03</subfield><subfield code="h">29-57</subfield></datafield></record></collection>
author	Bojanic, R.
spellingShingle	Bojanic, R. ddc 510 ssgn 17,1 misc Bounded Function misc Continuity Point misc Shepard Operator On the Approximation of Bounded Functions with Discontinuities of the First Kind by Generalized Shepard Operators
authorStr	Bojanic, R.
ppnlink_with_tag_str_mv	@@773@@(DE-627)130395986
format	Article
dewey-ones	510 - Mathematics
delete_txt_mv	keep
author_role	aut aut aut
collection	OLC
remote_str	false
illustrated	Not Illustrated
issn	0001-5954
topic_title	510 VZ 17,1 ssgn On the Approximation of Bounded Functions with Discontinuities of the First Kind by Generalized Shepard Operators Bounded Function Continuity Point Shepard Operator
topic	ddc 510 ssgn 17,1 misc Bounded Function misc Continuity Point misc Shepard Operator
topic_unstemmed	ddc 510 ssgn 17,1 misc Bounded Function misc Continuity Point misc Shepard Operator
topic_browse	ddc 510 ssgn 17,1 misc Bounded Function misc Continuity Point misc Shepard Operator
format_facet	Aufsätze Gedruckte Aufsätze
format_main_str_mv	Text Zeitschrift/Artikel
carriertype_str_mv	nc
hierarchy_parent_title	Acta mathematica Hungarica
hierarchy_parent_id	130395986
dewey-tens	510 - Mathematics
hierarchy_top_title	Acta mathematica Hungarica
isfreeaccess_txt	false
familylinks_str_mv	(DE-627)130395986 (DE-600)602393-9 (DE-576)015898156
title	On the Approximation of Bounded Functions with Discontinuities of the First Kind by Generalized Shepard Operators
ctrlnum	(DE-627)OLC2069888932 (DE-He213)A:1006612727274-p
title_full	On the Approximation of Bounded Functions with Discontinuities of the First Kind by Generalized Shepard Operators
author_sort	Bojanic, R.
journal	Acta mathematica Hungarica
journalStr	Acta mathematica Hungarica
lang_code	eng
isOA_bool	false
dewey-hundreds	500 - Science
recordtype	marc
publishDateSort	1999
contenttype_str_mv	txt
container_start_page	29
author_browse	Bojanic, R. della Vecchia, B. Mastroianni, G.
container_volume	85
class	510 VZ 17,1 ssgn
format_se	Aufsätze
author-letter	Bojanic, R.
doi_str_mv	10.1023/A:1006612727274
dewey-full	510
title_sort	on the approximation of bounded functions with discontinuities of the first kind by generalized shepard operators
title_auth	On the Approximation of Bounded Functions with Discontinuities of the First Kind by Generalized Shepard Operators
abstract	Abstract The authors investigate the approximation of bounded functions with discontinuities of the first kind by generalized Shepard operators. Estimate for the rate of convergence at a continuity point is obtained, while at the points of discontinuity it is shown that the sequence of generalized Shepard operators is almost always divergent. It is also shown that the sequence of Cesàro means of generalized Shepard operators is convergent everywhere for bounded functions which have only discontinuities of the first kind in [0,1]. © Kluwer Academic Publishers 1999
abstractGer	Abstract The authors investigate the approximation of bounded functions with discontinuities of the first kind by generalized Shepard operators. Estimate for the rate of convergence at a continuity point is obtained, while at the points of discontinuity it is shown that the sequence of generalized Shepard operators is almost always divergent. It is also shown that the sequence of Cesàro means of generalized Shepard operators is convergent everywhere for bounded functions which have only discontinuities of the first kind in [0,1]. © Kluwer Academic Publishers 1999
abstract_unstemmed	Abstract The authors investigate the approximation of bounded functions with discontinuities of the first kind by generalized Shepard operators. Estimate for the rate of convergence at a continuity point is obtained, while at the points of discontinuity it is shown that the sequence of generalized Shepard operators is almost always divergent. It is also shown that the sequence of Cesàro means of generalized Shepard operators is convergent everywhere for bounded functions which have only discontinuities of the first kind in [0,1]. © Kluwer Academic Publishers 1999
collection_details	GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_11 GBV_ILN_22 GBV_ILN_24 GBV_ILN_30 GBV_ILN_40 GBV_ILN_62 GBV_ILN_65 GBV_ILN_70 GBV_ILN_2002 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2020 GBV_ILN_2088 GBV_ILN_4012 GBV_ILN_4306 GBV_ILN_4310 GBV_ILN_4325 GBV_ILN_4700
container_issue	1-2
title_short	On the Approximation of Bounded Functions with Discontinuities of the First Kind by Generalized Shepard Operators
url	https://doi.org/10.1023/A:1006612727274
remote_bool	false
author2	della Vecchia, B. Mastroianni, G.
author2Str	della Vecchia, B. Mastroianni, G.
ppnlink	130395986
mediatype_str_mv	n
isOA_txt	false
hochschulschrift_bool	false
doi_str	10.1023/A:1006612727274
up_date	2024-07-03T23:35:09.625Z
_version_	1803602844321841152
fullrecord_marcxml	<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01000caa a22002652 4500</leader><controlfield tag="001">OLC2069888932</controlfield><controlfield tag="003">DE-627</controlfield><controlfield tag="005">20230502201301.0</controlfield><controlfield tag="007">tu</controlfield><controlfield tag="008">200820s1999 xx \|\|\|\|\| 00\| \|\|eng c</controlfield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1023/A:1006612727274</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-627)OLC2069888932</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-He213)A:1006612727274-p</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-627</subfield><subfield code="b">ger</subfield><subfield code="c">DE-627</subfield><subfield code="e">rakwb</subfield></datafield><datafield tag="041" ind1=" " ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="082" ind1="0" ind2="4"><subfield code="a">510</subfield><subfield code="q">VZ</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">17,1</subfield><subfield code="2">ssgn</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Bojanic, R.</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">On the Approximation of Bounded Functions with Discontinuities of the First Kind by Generalized Shepard Operators</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">1999</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">Text</subfield><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">ohne Hilfsmittel zu benutzen</subfield><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">Band</subfield><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">© Kluwer Academic Publishers 1999</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">Abstract The authors investigate the approximation of bounded functions with discontinuities of the first kind by generalized Shepard operators. Estimate for the rate of convergence at a continuity point is obtained, while at the points of discontinuity it is shown that the sequence of generalized Shepard operators is almost always divergent. It is also shown that the sequence of Cesàro means of generalized Shepard operators is convergent everywhere for bounded functions which have only discontinuities of the first kind in [0,1].</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Bounded Function</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Continuity Point</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Shepard Operator</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">della Vecchia, B.</subfield><subfield code="4">aut</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Mastroianni, G.</subfield><subfield code="4">aut</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Enthalten in</subfield><subfield code="t">Acta mathematica Hungarica</subfield><subfield code="d">Kluwer Academic Publishers, 1983</subfield><subfield code="g">85(1999), 1-2 vom: März, Seite 29-57</subfield><subfield code="w">(DE-627)130395986</subfield><subfield code="w">(DE-600)602393-9</subfield><subfield code="w">(DE-576)015898156</subfield><subfield code="x">0001-5954</subfield><subfield code="7">nnns</subfield></datafield><datafield tag="773" ind1="1" ind2="8"><subfield code="g">volume:85</subfield><subfield code="g">year:1999</subfield><subfield code="g">number:1-2</subfield><subfield code="g">month:03</subfield><subfield code="g">pages:29-57</subfield></datafield><datafield tag="856" ind1="4" ind2="1"><subfield code="u">https://doi.org/10.1023/A:1006612727274</subfield><subfield code="z">lizenzpflichtig</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_USEFLAG_A</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SYSFLAG_A</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_OLC</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SSG-OLC-MAT</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SSG-OPC-MAT</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_11</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_22</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_24</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_30</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_40</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_62</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_65</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_70</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2002</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2004</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2005</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2006</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2020</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2088</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4012</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4306</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4310</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4325</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4700</subfield></datafield><datafield tag="951" ind1=" " ind2=" "><subfield code="a">AR</subfield></datafield><datafield tag="952" ind1=" " ind2=" "><subfield code="d">85</subfield><subfield code="j">1999</subfield><subfield code="e">1-2</subfield><subfield code="c">03</subfield><subfield code="h">29-57</subfield></datafield></record></collection>
score	7.400916

Nicht das Richtige dabei?

Schreiben Sie uns!

On the Approximation of Bounded Functions with Discontinuities of the First Kind by Generalized Shepard Operators

Nicht das Richtige dabei?

Zugang & Verfügbarkeit

Vorhandene Bände

Nicht das Richtige dabei?