AN EXTREMAL APPROACH TO BIRKHOFF QUADRATURE FORMULAS

AN EXTREMAL APPROACH TO BIRKHOFF QUADRATURE FORMULAS

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摘要 Discusses an extremal problem with Birkhoff interpolation constraints. Quadrature formula derived from an extremal problem; Overview of auxiliary lemmas; Derivation of some properties of polynomials. Discusses an extremal problem with Birkhoff interpolation constraints. Quadrature formula derived from an extremal problem; Overview of auxiliary lemmas; Derivation of some properties of polynomials.

作者 Ying-guang Shi (Department of Mathematics, Hunan Normal University, Changsha 410081, China)

出处《Journal of Computational Mathematics》 SCIE EI CSCD 2001年第5期459-466,共8页 计算数学（英文）

基金 National Natural Science Foundation of China.

关键词 an extremal approach Birkhoff quadrature formulas an extremal approach Birkhoff quadrature formulas

分类号 O241.5 [理学—计算数学]

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2G. G. Lorentz,K. Jetter,S. D. Riemenschneider.Birkhoff Interpolation[]..1983
3K. Jetter.A new class of Gaussian quadrature formulas based on Birkhoff type data[].SIAM Journal on Numerical Analysis.1982

1朱尧辰.ON SOME MULTI-DIMENSIONAL QUADRATURE FORMULAS WITH NUMBER-THEORETIC NETS[J].Acta Mathematicae Applicatae Sinica,1993,9(4):335-347.
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Journal of Computational Mathematics

2001年第5期

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AN EXTREMAL APPROACH TO BIRKHOFF QUADRATURE FORMULAS

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