Bivariate Quasi-Interpolation Operator of Bernoulli Type
Abstract We introduce an improved bivariate thin-plate spline quasi-interpolation operator obtained by means of Bernoulli bivariate operator. We study this combined operator and give some error bounds in terms of the modulus of continuity of high order and also with Peano’s theorem. Finally, we make...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Cătinaş, Teodora [verfasserIn] |
|---|
| Format: |
Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2013 |
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| Anmerkung: |
© Springer Basel 2013 |
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| Übergeordnetes Werk: |
Enthalten in: Mediterranean journal of mathematics - Springer Basel, 2004, 11(2013), 4 vom: 11. Dez., Seite 1171-1183 |
|---|---|
| Übergeordnetes Werk: |
volume:11 ; year:2013 ; number:4 ; day:11 ; month:12 ; pages:1171-1183 |
| Links: |
|---|
| DOI / URN: |
10.1007/s00009-013-0374-x |
|---|
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OLC2069339254 |
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| 520 | |a Abstract We introduce an improved bivariate thin-plate spline quasi-interpolation operator obtained by means of Bernoulli bivariate operator. We study this combined operator and give some error bounds in terms of the modulus of continuity of high order and also with Peano’s theorem. Finally, we make extensive comparison with other existing methods and give some numerical examples. | ||
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10.1007/s00009-013-0374-x doi (DE-627)OLC2069339254 (DE-He213)s00009-013-0374-x-p DE-627 ger DE-627 rakwb eng 510 VZ 17,1 ssgn Cătinaş, Teodora verfasserin aut Bivariate Quasi-Interpolation Operator of Bernoulli Type 2013 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer Basel 2013 Abstract We introduce an improved bivariate thin-plate spline quasi-interpolation operator obtained by means of Bernoulli bivariate operator. We study this combined operator and give some error bounds in terms of the modulus of continuity of high order and also with Peano’s theorem. Finally, we make extensive comparison with other existing methods and give some numerical examples. Enthalten in Mediterranean journal of mathematics Springer Basel, 2004 11(2013), 4 vom: 11. Dez., Seite 1171-1183 (DE-627)389869848 (DE-600)2149653-5 (DE-576)12119308X 1660-5446 nnns volume:11 year:2013 number:4 day:11 month:12 pages:1171-1183 https://doi.org/10.1007/s00009-013-0374-x lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_40 GBV_ILN_70 GBV_ILN_2088 GBV_ILN_4277 AR 11 2013 4 11 12 1171-1183 |
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10.1007/s00009-013-0374-x doi (DE-627)OLC2069339254 (DE-He213)s00009-013-0374-x-p DE-627 ger DE-627 rakwb eng 510 VZ 17,1 ssgn Cătinaş, Teodora verfasserin aut Bivariate Quasi-Interpolation Operator of Bernoulli Type 2013 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer Basel 2013 Abstract We introduce an improved bivariate thin-plate spline quasi-interpolation operator obtained by means of Bernoulli bivariate operator. We study this combined operator and give some error bounds in terms of the modulus of continuity of high order and also with Peano’s theorem. Finally, we make extensive comparison with other existing methods and give some numerical examples. Enthalten in Mediterranean journal of mathematics Springer Basel, 2004 11(2013), 4 vom: 11. Dez., Seite 1171-1183 (DE-627)389869848 (DE-600)2149653-5 (DE-576)12119308X 1660-5446 nnns volume:11 year:2013 number:4 day:11 month:12 pages:1171-1183 https://doi.org/10.1007/s00009-013-0374-x lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_40 GBV_ILN_70 GBV_ILN_2088 GBV_ILN_4277 AR 11 2013 4 11 12 1171-1183 |
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Abstract We introduce an improved bivariate thin-plate spline quasi-interpolation operator obtained by means of Bernoulli bivariate operator. We study this combined operator and give some error bounds in terms of the modulus of continuity of high order and also with Peano’s theorem. Finally, we make extensive comparison with other existing methods and give some numerical examples. © Springer Basel 2013 |
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Abstract We introduce an improved bivariate thin-plate spline quasi-interpolation operator obtained by means of Bernoulli bivariate operator. We study this combined operator and give some error bounds in terms of the modulus of continuity of high order and also with Peano’s theorem. Finally, we make extensive comparison with other existing methods and give some numerical examples. © Springer Basel 2013 |
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Abstract We introduce an improved bivariate thin-plate spline quasi-interpolation operator obtained by means of Bernoulli bivariate operator. We study this combined operator and give some error bounds in terms of the modulus of continuity of high order and also with Peano’s theorem. Finally, we make extensive comparison with other existing methods and give some numerical examples. © Springer Basel 2013 |
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<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01000caa a22002652 4500</leader><controlfield tag="001">OLC2069339254</controlfield><controlfield tag="003">DE-627</controlfield><controlfield tag="005">20230323095029.0</controlfield><controlfield tag="007">tu</controlfield><controlfield tag="008">200819s2013 xx ||||| 00| ||eng c</controlfield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1007/s00009-013-0374-x</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-627)OLC2069339254</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-He213)s00009-013-0374-x-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">Cătinaş, Teodora</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Bivariate Quasi-Interpolation Operator of Bernoulli Type</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">2013</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">© Springer Basel 2013</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">Abstract We introduce an improved bivariate thin-plate spline quasi-interpolation operator obtained by means of Bernoulli bivariate operator. We study this combined operator and give some error bounds in terms of the modulus of continuity of high order and also with Peano’s theorem. Finally, we make extensive comparison with other existing methods and give some numerical examples.</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Enthalten in</subfield><subfield code="t">Mediterranean journal of mathematics</subfield><subfield code="d">Springer Basel, 2004</subfield><subfield code="g">11(2013), 4 vom: 11. Dez., Seite 1171-1183</subfield><subfield code="w">(DE-627)389869848</subfield><subfield code="w">(DE-600)2149653-5</subfield><subfield code="w">(DE-576)12119308X</subfield><subfield code="x">1660-5446</subfield><subfield code="7">nnns</subfield></datafield><datafield tag="773" ind1="1" ind2="8"><subfield code="g">volume:11</subfield><subfield code="g">year:2013</subfield><subfield code="g">number:4</subfield><subfield code="g">day:11</subfield><subfield code="g">month:12</subfield><subfield code="g">pages:1171-1183</subfield></datafield><datafield tag="856" ind1="4" ind2="1"><subfield code="u">https://doi.org/10.1007/s00009-013-0374-x</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_40</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_2088</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4277</subfield></datafield><datafield tag="951" ind1=" " ind2=" "><subfield code="a">AR</subfield></datafield><datafield tag="952" ind1=" " ind2=" "><subfield code="d">11</subfield><subfield code="j">2013</subfield><subfield code="e">4</subfield><subfield code="b">11</subfield><subfield code="c">12</subfield><subfield code="h">1171-1183</subfield></datafield></record></collection>
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