Interpolation by Splines of Even Degree According to Subbotin and Marsden
We consider the problem of interpolation by splines of even degree according to Subbotin and Marsden. The study is based on the representation of spline derivatives in the bases of normalized and nonnormalized B-splines. The systems of equations for the coefficients of these representations are obta...
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| Autor*in: |
Volkov, Yu. S. [verfasserIn] |
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| Format: |
Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2014 |
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| Schlagwörter: |
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| Anmerkung: |
© Springer Science+Business Media New York 2014 |
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| Übergeordnetes Werk: |
Enthalten in: Ukrainian mathematical journal - Springer US, 1967, 66(2014), 7 vom: Dez., Seite 994-1012 |
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| Übergeordnetes Werk: |
volume:66 ; year:2014 ; number:7 ; month:12 ; pages:994-1012 |
| Links: |
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| DOI / URN: |
10.1007/s11253-014-0990-z |
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| 520 | |a We consider the problem of interpolation by splines of even degree according to Subbotin and Marsden. The study is based on the representation of spline derivatives in the bases of normalized and nonnormalized B-splines. The systems of equations for the coefficients of these representations are obtained. The estimations of the derivatives of the error function in the approximation of an interpolated function by the complete spline are deduced via the norms of inverse matrices of the investigated systems of equations. The relationship between the splines in a sense of Subbotin and the splines in a sense of Marsden is established. | ||
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10.1007/s11253-014-0990-z doi (DE-627)OLC2054570028 (DE-He213)s11253-014-0990-z-p DE-627 ger DE-627 rakwb eng 510 VZ 17,1 ssgn Volkov, Yu. S. verfasserin aut Interpolation by Splines of Even Degree According to Subbotin and Marsden 2014 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer Science+Business Media New York 2014 We consider the problem of interpolation by splines of even degree according to Subbotin and Marsden. The study is based on the representation of spline derivatives in the bases of normalized and nonnormalized B-splines. The systems of equations for the coefficients of these representations are obtained. The estimations of the derivatives of the error function in the approximation of an interpolated function by the complete spline are deduced via the norms of inverse matrices of the investigated systems of equations. The relationship between the splines in a sense of Subbotin and the splines in a sense of Marsden is established. Interpolation Spline Interpolation Problem Interpolation Point Divided Difference Interpolate Function Enthalten in Ukrainian mathematical journal Springer US, 1967 66(2014), 7 vom: Dez., Seite 994-1012 (DE-627)12993318X (DE-600)390019-8 (DE-576)015490556 0041-5995 nnns volume:66 year:2014 number:7 month:12 pages:994-1012 https://doi.org/10.1007/s11253-014-0990-z lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_40 GBV_ILN_70 AR 66 2014 7 12 994-1012 |
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10.1007/s11253-014-0990-z doi (DE-627)OLC2054570028 (DE-He213)s11253-014-0990-z-p DE-627 ger DE-627 rakwb eng 510 VZ 17,1 ssgn Volkov, Yu. S. verfasserin aut Interpolation by Splines of Even Degree According to Subbotin and Marsden 2014 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer Science+Business Media New York 2014 We consider the problem of interpolation by splines of even degree according to Subbotin and Marsden. The study is based on the representation of spline derivatives in the bases of normalized and nonnormalized B-splines. The systems of equations for the coefficients of these representations are obtained. The estimations of the derivatives of the error function in the approximation of an interpolated function by the complete spline are deduced via the norms of inverse matrices of the investigated systems of equations. The relationship between the splines in a sense of Subbotin and the splines in a sense of Marsden is established. Interpolation Spline Interpolation Problem Interpolation Point Divided Difference Interpolate Function Enthalten in Ukrainian mathematical journal Springer US, 1967 66(2014), 7 vom: Dez., Seite 994-1012 (DE-627)12993318X (DE-600)390019-8 (DE-576)015490556 0041-5995 nnns volume:66 year:2014 number:7 month:12 pages:994-1012 https://doi.org/10.1007/s11253-014-0990-z lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_40 GBV_ILN_70 AR 66 2014 7 12 994-1012 |
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Interpolation by Splines of Even Degree According to Subbotin and Marsden |
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We consider the problem of interpolation by splines of even degree according to Subbotin and Marsden. The study is based on the representation of spline derivatives in the bases of normalized and nonnormalized B-splines. The systems of equations for the coefficients of these representations are obtained. The estimations of the derivatives of the error function in the approximation of an interpolated function by the complete spline are deduced via the norms of inverse matrices of the investigated systems of equations. The relationship between the splines in a sense of Subbotin and the splines in a sense of Marsden is established. © Springer Science+Business Media New York 2014 |
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We consider the problem of interpolation by splines of even degree according to Subbotin and Marsden. The study is based on the representation of spline derivatives in the bases of normalized and nonnormalized B-splines. The systems of equations for the coefficients of these representations are obtained. The estimations of the derivatives of the error function in the approximation of an interpolated function by the complete spline are deduced via the norms of inverse matrices of the investigated systems of equations. The relationship between the splines in a sense of Subbotin and the splines in a sense of Marsden is established. © Springer Science+Business Media New York 2014 |
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We consider the problem of interpolation by splines of even degree according to Subbotin and Marsden. The study is based on the representation of spline derivatives in the bases of normalized and nonnormalized B-splines. The systems of equations for the coefficients of these representations are obtained. The estimations of the derivatives of the error function in the approximation of an interpolated function by the complete spline are deduced via the norms of inverse matrices of the investigated systems of equations. The relationship between the splines in a sense of Subbotin and the splines in a sense of Marsden is established. © Springer Science+Business Media New York 2014 |
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S.</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Interpolation by Splines of Even Degree According to Subbotin and Marsden</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">2014</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 Science+Business Media New York 2014</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">We consider the problem of interpolation by splines of even degree according to Subbotin and Marsden. The study is based on the representation of spline derivatives in the bases of normalized and nonnormalized B-splines. The systems of equations for the coefficients of these representations are obtained. The estimations of the derivatives of the error function in the approximation of an interpolated function by the complete spline are deduced via the norms of inverse matrices of the investigated systems of equations. 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