Local polynomial interpolation in a rectangle
Abstract The asymptotical error committed by approximating a smooth function by a polynomial is studied. The domain of interpolation is a rectangle in two dimensional space, and the interpolating polynomials belong to the product space of polynomials of degree at most p in one main direction and at...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Hugger, J. [verfasserIn] |
|---|
| Format: |
Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
1994 |
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| Schlagwörter: |
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| Anmerkung: |
© Instituto di Elaborazione della Informazione del CNR 1994 |
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| Übergeordnetes Werk: |
Enthalten in: Calcolo - Springer-Verlag, 1964, 31(1994), 3-4 vom: Sept., Seite 233-256 |
|---|---|
| Übergeordnetes Werk: |
volume:31 ; year:1994 ; number:3-4 ; month:09 ; pages:233-256 |
| Links: |
|---|
| DOI / URN: |
10.1007/BF02575880 |
|---|
| Katalog-ID: |
OLC2069159108 |
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| 520 | |a Abstract The asymptotical error committed by approximating a smooth function by a polynomial is studied. The domain of interpolation is a rectangle in two dimensional space, and the interpolating polynomials belong to the product space of polynomials of degree at most p in one main direction and at most q in the other. For approximating polynomials we consider the use of Taylor and Lagrange interpolation polynomials. | ||
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10.1007/BF02575880 doi (DE-627)OLC2069159108 (DE-He213)BF02575880-p DE-627 ger DE-627 rakwb eng 510 VZ Hugger, J. verfasserin aut Local polynomial interpolation in a rectangle 1994 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Instituto di Elaborazione della Informazione del CNR 1994 Abstract The asymptotical error committed by approximating a smooth function by a polynomial is studied. The domain of interpolation is a rectangle in two dimensional space, and the interpolating polynomials belong to the product space of polynomials of degree at most p in one main direction and at most q in the other. For approximating polynomials we consider the use of Taylor and Lagrange interpolation polynomials. Taylor Expansion High Order Term Polynomial Interpolation Interpolation Error Lagrange Interpolation Enthalten in Calcolo Springer-Verlag, 1964 31(1994), 3-4 vom: Sept., Seite 233-256 (DE-627)129456330 (DE-600)199549-2 (DE-576)014819511 0008-0624 nnns volume:31 year:1994 number:3-4 month:09 pages:233-256 https://doi.org/10.1007/BF02575880 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_20 GBV_ILN_40 GBV_ILN_70 GBV_ILN_2004 GBV_ILN_2088 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4318 GBV_ILN_4700 AR 31 1994 3-4 09 233-256 |
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10.1007/BF02575880 doi (DE-627)OLC2069159108 (DE-He213)BF02575880-p DE-627 ger DE-627 rakwb eng 510 VZ Hugger, J. verfasserin aut Local polynomial interpolation in a rectangle 1994 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Instituto di Elaborazione della Informazione del CNR 1994 Abstract The asymptotical error committed by approximating a smooth function by a polynomial is studied. The domain of interpolation is a rectangle in two dimensional space, and the interpolating polynomials belong to the product space of polynomials of degree at most p in one main direction and at most q in the other. For approximating polynomials we consider the use of Taylor and Lagrange interpolation polynomials. Taylor Expansion High Order Term Polynomial Interpolation Interpolation Error Lagrange Interpolation Enthalten in Calcolo Springer-Verlag, 1964 31(1994), 3-4 vom: Sept., Seite 233-256 (DE-627)129456330 (DE-600)199549-2 (DE-576)014819511 0008-0624 nnns volume:31 year:1994 number:3-4 month:09 pages:233-256 https://doi.org/10.1007/BF02575880 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_20 GBV_ILN_40 GBV_ILN_70 GBV_ILN_2004 GBV_ILN_2088 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4318 GBV_ILN_4700 AR 31 1994 3-4 09 233-256 |
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10.1007/BF02575880 doi (DE-627)OLC2069159108 (DE-He213)BF02575880-p DE-627 ger DE-627 rakwb eng 510 VZ Hugger, J. verfasserin aut Local polynomial interpolation in a rectangle 1994 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Instituto di Elaborazione della Informazione del CNR 1994 Abstract The asymptotical error committed by approximating a smooth function by a polynomial is studied. The domain of interpolation is a rectangle in two dimensional space, and the interpolating polynomials belong to the product space of polynomials of degree at most p in one main direction and at most q in the other. For approximating polynomials we consider the use of Taylor and Lagrange interpolation polynomials. Taylor Expansion High Order Term Polynomial Interpolation Interpolation Error Lagrange Interpolation Enthalten in Calcolo Springer-Verlag, 1964 31(1994), 3-4 vom: Sept., Seite 233-256 (DE-627)129456330 (DE-600)199549-2 (DE-576)014819511 0008-0624 nnns volume:31 year:1994 number:3-4 month:09 pages:233-256 https://doi.org/10.1007/BF02575880 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_20 GBV_ILN_40 GBV_ILN_70 GBV_ILN_2004 GBV_ILN_2088 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4318 GBV_ILN_4700 AR 31 1994 3-4 09 233-256 |
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10.1007/BF02575880 doi (DE-627)OLC2069159108 (DE-He213)BF02575880-p DE-627 ger DE-627 rakwb eng 510 VZ Hugger, J. verfasserin aut Local polynomial interpolation in a rectangle 1994 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Instituto di Elaborazione della Informazione del CNR 1994 Abstract The asymptotical error committed by approximating a smooth function by a polynomial is studied. The domain of interpolation is a rectangle in two dimensional space, and the interpolating polynomials belong to the product space of polynomials of degree at most p in one main direction and at most q in the other. For approximating polynomials we consider the use of Taylor and Lagrange interpolation polynomials. Taylor Expansion High Order Term Polynomial Interpolation Interpolation Error Lagrange Interpolation Enthalten in Calcolo Springer-Verlag, 1964 31(1994), 3-4 vom: Sept., Seite 233-256 (DE-627)129456330 (DE-600)199549-2 (DE-576)014819511 0008-0624 nnns volume:31 year:1994 number:3-4 month:09 pages:233-256 https://doi.org/10.1007/BF02575880 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_20 GBV_ILN_40 GBV_ILN_70 GBV_ILN_2004 GBV_ILN_2088 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4318 GBV_ILN_4700 AR 31 1994 3-4 09 233-256 |
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Abstract The asymptotical error committed by approximating a smooth function by a polynomial is studied. The domain of interpolation is a rectangle in two dimensional space, and the interpolating polynomials belong to the product space of polynomials of degree at most p in one main direction and at most q in the other. For approximating polynomials we consider the use of Taylor and Lagrange interpolation polynomials. © Instituto di Elaborazione della Informazione del CNR 1994 |
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Abstract The asymptotical error committed by approximating a smooth function by a polynomial is studied. The domain of interpolation is a rectangle in two dimensional space, and the interpolating polynomials belong to the product space of polynomials of degree at most p in one main direction and at most q in the other. For approximating polynomials we consider the use of Taylor and Lagrange interpolation polynomials. © Instituto di Elaborazione della Informazione del CNR 1994 |
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Abstract The asymptotical error committed by approximating a smooth function by a polynomial is studied. The domain of interpolation is a rectangle in two dimensional space, and the interpolating polynomials belong to the product space of polynomials of degree at most p in one main direction and at most q in the other. For approximating polynomials we consider the use of Taylor and Lagrange interpolation polynomials. © Instituto di Elaborazione della Informazione del CNR 1994 |
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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">OLC2069159108</controlfield><controlfield tag="003">DE-627</controlfield><controlfield tag="005">20230502171404.0</controlfield><controlfield tag="007">tu</controlfield><controlfield tag="008">200819s1994 xx ||||| 00| ||eng c</controlfield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1007/BF02575880</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-627)OLC2069159108</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-He213)BF02575880-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="100" ind1="1" ind2=" "><subfield code="a">Hugger, J.</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Local polynomial interpolation in a rectangle</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">1994</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">© Instituto di Elaborazione della Informazione del CNR 1994</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">Abstract The asymptotical error committed by approximating a smooth function by a polynomial is studied. The domain of interpolation is a rectangle in two dimensional space, and the interpolating polynomials belong to the product space of polynomials of degree at most p in one main direction and at most q in the other. For approximating polynomials we consider the use of Taylor and Lagrange interpolation polynomials.</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Taylor Expansion</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">High Order Term</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Polynomial Interpolation</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Interpolation Error</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Lagrange Interpolation</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Enthalten in</subfield><subfield code="t">Calcolo</subfield><subfield code="d">Springer-Verlag, 1964</subfield><subfield code="g">31(1994), 3-4 vom: Sept., Seite 233-256</subfield><subfield code="w">(DE-627)129456330</subfield><subfield code="w">(DE-600)199549-2</subfield><subfield code="w">(DE-576)014819511</subfield><subfield code="x">0008-0624</subfield><subfield code="7">nnns</subfield></datafield><datafield tag="773" ind1="1" ind2="8"><subfield code="g">volume:31</subfield><subfield code="g">year:1994</subfield><subfield code="g">number:3-4</subfield><subfield code="g">month:09</subfield><subfield code="g">pages:233-256</subfield></datafield><datafield tag="856" ind1="4" ind2="1"><subfield code="u">https://doi.org/10.1007/BF02575880</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_20</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_2004</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_4306</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4307</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4318</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">31</subfield><subfield code="j">1994</subfield><subfield code="e">3-4</subfield><subfield code="c">09</subfield><subfield code="h">233-256</subfield></datafield></record></collection>
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