On general Hermite trigonometric interpolation

Summary A sequence of general Hermite trigonometric interpolation polynomials with equidistant interpolation points is given. Integrating these interpolation formulae a sequence of quadrature formulae for the integration of periodic functions is obtained. Derivative-free remainders are stated for th...
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Gespeichert in:

Autor*in:	Kreß, Rainer [verfasserIn]

Format:	Artikel
Sprache:	Englisch

Erschienen:	1972

Schlagwörter:	Mathematical Method Periodic Function Interpolation Polynomial Interpolation Point Trigonometric Interpolation

Systematik:	SA 7310

Anmerkung:	© Springer-Verlag 1972/73

Übergeordnetes Werk:	Enthalten in: Numerische Mathematik - Springer-Verlag, 1959, 20(1972), 2 vom: Apr., Seite 125-138
Übergeordnetes Werk:	volume:20 ; year:1972 ; number:2 ; month:04 ; pages:125-138

Links:	Volltext

DOI / URN:	10.1007/BF01404402

Katalog-ID:	OLC2039968903

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allfields	10.1007/BF01404402 doi (DE-627)OLC2039968903 (DE-He213)BF01404402-p DE-627 ger DE-627 rakwb eng 510 VZ 17,1 ssgn SA 7310 VZ rvk Kreß, Rainer verfasserin aut On general Hermite trigonometric interpolation 1972 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag 1972/73 Summary A sequence of general Hermite trigonometric interpolation polynomials with equidistant interpolation points is given. Integrating these interpolation formulae a sequence of quadrature formulae for the integration of periodic functions is obtained. Derivative-free remainders are stated for these interpolation and quadrature formulae. Mathematical Method Periodic Function Interpolation Polynomial Interpolation Point Trigonometric Interpolation Enthalten in Numerische Mathematik Springer-Verlag, 1959 20(1972), 2 vom: Apr., Seite 125-138 (DE-627)129081469 (DE-600)3460-5 (DE-576)014414333 0029-599X nnns volume:20 year:1972 number:2 month:04 pages:125-138 https://doi.org/10.1007/BF01404402 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_11 GBV_ILN_20 GBV_ILN_21 GBV_ILN_22 GBV_ILN_23 GBV_ILN_30 GBV_ILN_31 GBV_ILN_32 GBV_ILN_40 GBV_ILN_55 GBV_ILN_59 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_70 GBV_ILN_90 GBV_ILN_95 GBV_ILN_105 GBV_ILN_147 GBV_ILN_150 GBV_ILN_170 GBV_ILN_201 GBV_ILN_2002 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2010 GBV_ILN_2012 GBV_ILN_2014 GBV_ILN_2016 GBV_ILN_2018 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2027 GBV_ILN_2061 GBV_ILN_2088 GBV_ILN_2360 GBV_ILN_2409 GBV_ILN_4012 GBV_ILN_4036 GBV_ILN_4046 GBV_ILN_4082 GBV_ILN_4103 GBV_ILN_4126 GBV_ILN_4277 GBV_ILN_4305 GBV_ILN_4307 GBV_ILN_4310 GBV_ILN_4311 GBV_ILN_4313 GBV_ILN_4314 GBV_ILN_4315 GBV_ILN_4318 GBV_ILN_4319 GBV_ILN_4323 GBV_ILN_4325 GBV_ILN_4700 SA 7310 AR 20 1972 2 04 125-138
spelling	10.1007/BF01404402 doi (DE-627)OLC2039968903 (DE-He213)BF01404402-p DE-627 ger DE-627 rakwb eng 510 VZ 17,1 ssgn SA 7310 VZ rvk Kreß, Rainer verfasserin aut On general Hermite trigonometric interpolation 1972 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag 1972/73 Summary A sequence of general Hermite trigonometric interpolation polynomials with equidistant interpolation points is given. Integrating these interpolation formulae a sequence of quadrature formulae for the integration of periodic functions is obtained. Derivative-free remainders are stated for these interpolation and quadrature formulae. Mathematical Method Periodic Function Interpolation Polynomial Interpolation Point Trigonometric Interpolation Enthalten in Numerische Mathematik Springer-Verlag, 1959 20(1972), 2 vom: Apr., Seite 125-138 (DE-627)129081469 (DE-600)3460-5 (DE-576)014414333 0029-599X nnns volume:20 year:1972 number:2 month:04 pages:125-138 https://doi.org/10.1007/BF01404402 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_11 GBV_ILN_20 GBV_ILN_21 GBV_ILN_22 GBV_ILN_23 GBV_ILN_30 GBV_ILN_31 GBV_ILN_32 GBV_ILN_40 GBV_ILN_55 GBV_ILN_59 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_70 GBV_ILN_90 GBV_ILN_95 GBV_ILN_105 GBV_ILN_147 GBV_ILN_150 GBV_ILN_170 GBV_ILN_201 GBV_ILN_2002 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2010 GBV_ILN_2012 GBV_ILN_2014 GBV_ILN_2016 GBV_ILN_2018 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2027 GBV_ILN_2061 GBV_ILN_2088 GBV_ILN_2360 GBV_ILN_2409 GBV_ILN_4012 GBV_ILN_4036 GBV_ILN_4046 GBV_ILN_4082 GBV_ILN_4103 GBV_ILN_4126 GBV_ILN_4277 GBV_ILN_4305 GBV_ILN_4307 GBV_ILN_4310 GBV_ILN_4311 GBV_ILN_4313 GBV_ILN_4314 GBV_ILN_4315 GBV_ILN_4318 GBV_ILN_4319 GBV_ILN_4323 GBV_ILN_4325 GBV_ILN_4700 SA 7310 AR 20 1972 2 04 125-138
allfields_unstemmed	10.1007/BF01404402 doi (DE-627)OLC2039968903 (DE-He213)BF01404402-p DE-627 ger DE-627 rakwb eng 510 VZ 17,1 ssgn SA 7310 VZ rvk Kreß, Rainer verfasserin aut On general Hermite trigonometric interpolation 1972 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag 1972/73 Summary A sequence of general Hermite trigonometric interpolation polynomials with equidistant interpolation points is given. Integrating these interpolation formulae a sequence of quadrature formulae for the integration of periodic functions is obtained. Derivative-free remainders are stated for these interpolation and quadrature formulae. Mathematical Method Periodic Function Interpolation Polynomial Interpolation Point Trigonometric Interpolation Enthalten in Numerische Mathematik Springer-Verlag, 1959 20(1972), 2 vom: Apr., Seite 125-138 (DE-627)129081469 (DE-600)3460-5 (DE-576)014414333 0029-599X nnns volume:20 year:1972 number:2 month:04 pages:125-138 https://doi.org/10.1007/BF01404402 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_11 GBV_ILN_20 GBV_ILN_21 GBV_ILN_22 GBV_ILN_23 GBV_ILN_30 GBV_ILN_31 GBV_ILN_32 GBV_ILN_40 GBV_ILN_55 GBV_ILN_59 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_70 GBV_ILN_90 GBV_ILN_95 GBV_ILN_105 GBV_ILN_147 GBV_ILN_150 GBV_ILN_170 GBV_ILN_201 GBV_ILN_2002 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2010 GBV_ILN_2012 GBV_ILN_2014 GBV_ILN_2016 GBV_ILN_2018 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2027 GBV_ILN_2061 GBV_ILN_2088 GBV_ILN_2360 GBV_ILN_2409 GBV_ILN_4012 GBV_ILN_4036 GBV_ILN_4046 GBV_ILN_4082 GBV_ILN_4103 GBV_ILN_4126 GBV_ILN_4277 GBV_ILN_4305 GBV_ILN_4307 GBV_ILN_4310 GBV_ILN_4311 GBV_ILN_4313 GBV_ILN_4314 GBV_ILN_4315 GBV_ILN_4318 GBV_ILN_4319 GBV_ILN_4323 GBV_ILN_4325 GBV_ILN_4700 SA 7310 AR 20 1972 2 04 125-138
allfieldsGer	10.1007/BF01404402 doi (DE-627)OLC2039968903 (DE-He213)BF01404402-p DE-627 ger DE-627 rakwb eng 510 VZ 17,1 ssgn SA 7310 VZ rvk Kreß, Rainer verfasserin aut On general Hermite trigonometric interpolation 1972 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag 1972/73 Summary A sequence of general Hermite trigonometric interpolation polynomials with equidistant interpolation points is given. Integrating these interpolation formulae a sequence of quadrature formulae for the integration of periodic functions is obtained. Derivative-free remainders are stated for these interpolation and quadrature formulae. Mathematical Method Periodic Function Interpolation Polynomial Interpolation Point Trigonometric Interpolation Enthalten in Numerische Mathematik Springer-Verlag, 1959 20(1972), 2 vom: Apr., Seite 125-138 (DE-627)129081469 (DE-600)3460-5 (DE-576)014414333 0029-599X nnns volume:20 year:1972 number:2 month:04 pages:125-138 https://doi.org/10.1007/BF01404402 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_11 GBV_ILN_20 GBV_ILN_21 GBV_ILN_22 GBV_ILN_23 GBV_ILN_30 GBV_ILN_31 GBV_ILN_32 GBV_ILN_40 GBV_ILN_55 GBV_ILN_59 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_70 GBV_ILN_90 GBV_ILN_95 GBV_ILN_105 GBV_ILN_147 GBV_ILN_150 GBV_ILN_170 GBV_ILN_201 GBV_ILN_2002 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2010 GBV_ILN_2012 GBV_ILN_2014 GBV_ILN_2016 GBV_ILN_2018 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2027 GBV_ILN_2061 GBV_ILN_2088 GBV_ILN_2360 GBV_ILN_2409 GBV_ILN_4012 GBV_ILN_4036 GBV_ILN_4046 GBV_ILN_4082 GBV_ILN_4103 GBV_ILN_4126 GBV_ILN_4277 GBV_ILN_4305 GBV_ILN_4307 GBV_ILN_4310 GBV_ILN_4311 GBV_ILN_4313 GBV_ILN_4314 GBV_ILN_4315 GBV_ILN_4318 GBV_ILN_4319 GBV_ILN_4323 GBV_ILN_4325 GBV_ILN_4700 SA 7310 AR 20 1972 2 04 125-138
allfieldsSound	10.1007/BF01404402 doi (DE-627)OLC2039968903 (DE-He213)BF01404402-p DE-627 ger DE-627 rakwb eng 510 VZ 17,1 ssgn SA 7310 VZ rvk Kreß, Rainer verfasserin aut On general Hermite trigonometric interpolation 1972 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag 1972/73 Summary A sequence of general Hermite trigonometric interpolation polynomials with equidistant interpolation points is given. Integrating these interpolation formulae a sequence of quadrature formulae for the integration of periodic functions is obtained. Derivative-free remainders are stated for these interpolation and quadrature formulae. Mathematical Method Periodic Function Interpolation Polynomial Interpolation Point Trigonometric Interpolation Enthalten in Numerische Mathematik Springer-Verlag, 1959 20(1972), 2 vom: Apr., Seite 125-138 (DE-627)129081469 (DE-600)3460-5 (DE-576)014414333 0029-599X nnns volume:20 year:1972 number:2 month:04 pages:125-138 https://doi.org/10.1007/BF01404402 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_11 GBV_ILN_20 GBV_ILN_21 GBV_ILN_22 GBV_ILN_23 GBV_ILN_30 GBV_ILN_31 GBV_ILN_32 GBV_ILN_40 GBV_ILN_55 GBV_ILN_59 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_70 GBV_ILN_90 GBV_ILN_95 GBV_ILN_105 GBV_ILN_147 GBV_ILN_150 GBV_ILN_170 GBV_ILN_201 GBV_ILN_2002 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2010 GBV_ILN_2012 GBV_ILN_2014 GBV_ILN_2016 GBV_ILN_2018 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2027 GBV_ILN_2061 GBV_ILN_2088 GBV_ILN_2360 GBV_ILN_2409 GBV_ILN_4012 GBV_ILN_4036 GBV_ILN_4046 GBV_ILN_4082 GBV_ILN_4103 GBV_ILN_4126 GBV_ILN_4277 GBV_ILN_4305 GBV_ILN_4307 GBV_ILN_4310 GBV_ILN_4311 GBV_ILN_4313 GBV_ILN_4314 GBV_ILN_4315 GBV_ILN_4318 GBV_ILN_4319 GBV_ILN_4323 GBV_ILN_4325 GBV_ILN_4700 SA 7310 AR 20 1972 2 04 125-138
language	English
source	Enthalten in Numerische Mathematik 20(1972), 2 vom: Apr., Seite 125-138 volume:20 year:1972 number:2 month:04 pages:125-138
sourceStr	Enthalten in Numerische Mathematik 20(1972), 2 vom: Apr., Seite 125-138 volume:20 year:1972 number:2 month:04 pages:125-138
format_phy_str_mv	Article
institution	findex.gbv.de
topic_facet	Mathematical Method Periodic Function Interpolation Polynomial Interpolation Point Trigonometric Interpolation
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container_title	Numerische Mathematik
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author	Kreß, Rainer
spellingShingle	Kreß, Rainer ddc 510 ssgn 17,1 rvk SA 7310 misc Mathematical Method misc Periodic Function misc Interpolation Polynomial misc Interpolation Point misc Trigonometric Interpolation On general Hermite trigonometric interpolation
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topic_title	510 VZ 17,1 ssgn SA 7310 VZ rvk On general Hermite trigonometric interpolation Mathematical Method Periodic Function Interpolation Polynomial Interpolation Point Trigonometric Interpolation
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title	On general Hermite trigonometric interpolation
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title_full	On general Hermite trigonometric interpolation
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title_sort	on general hermite trigonometric interpolation
title_auth	On general Hermite trigonometric interpolation
abstract	Summary A sequence of general Hermite trigonometric interpolation polynomials with equidistant interpolation points is given. Integrating these interpolation formulae a sequence of quadrature formulae for the integration of periodic functions is obtained. Derivative-free remainders are stated for these interpolation and quadrature formulae. © Springer-Verlag 1972/73
abstractGer	Summary A sequence of general Hermite trigonometric interpolation polynomials with equidistant interpolation points is given. Integrating these interpolation formulae a sequence of quadrature formulae for the integration of periodic functions is obtained. Derivative-free remainders are stated for these interpolation and quadrature formulae. © Springer-Verlag 1972/73
abstract_unstemmed	Summary A sequence of general Hermite trigonometric interpolation polynomials with equidistant interpolation points is given. Integrating these interpolation formulae a sequence of quadrature formulae for the integration of periodic functions is obtained. Derivative-free remainders are stated for these interpolation and quadrature formulae. © Springer-Verlag 1972/73
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