扩充Hermite-Fejér插值算子的平均收敛阶

数学季刊 ›› 1997, Vol. 12 ›› Issue (4): 70-74.

扩充Hermite-Fejér插值算子的平均收敛阶

Department of Mathematics,Henan University,475001

收稿日期:1996-09-09 出版日期:1997-12-30 发布日期:2024-11-15
基金资助:
Project supported by National Natural Science of Foundation of Henan Province

The Mean Convergence Order of Extended Hermite-Fejér Interpolation Operators

Department of Mathematics,Henan University,475001

Received:1996-09-09 Online:1997-12-30 Published:2024-11-15
Supported by:
Project supported by National Natural Science of Foundation of Henan Province

摘要/Abstract

摘要： Weighted L^p mean convergence of Extended Hermite-Fejer operators based on the zeros of orthogonal polynomials with respect to the general weight and Jacobi weight is investigated. Sufficient conditions for such convergence for all continuous functions are given.

关键词: interpolation;orthogonal , polynomial;weight , function , ;mean , convergence

Abstract: Weighted L^p mean convergence of Extended Hermite-Fejer operators based on the zeros of orthogonal polynomials with respect to the general weight and Jacobi weight is investigated. Sufficient conditions for such convergence for all continuous functions are given.

Key words: interpolation;orthogonal , polynomial;weight , function , ;mean , convergence

中图分类号:

O177

文成林, 田继善. 扩充Hermite-Fejér插值算子的平均收敛阶[J]. 数学季刊, 1997, 12(4): 70-74.

Wen Chenglin, Tian Jishan. The Mean Convergence Order of Extended Hermite-Fejér Interpolation Operators[J]. Chinese Quarterly Journal of Mathematics, 1997, 12(4): 70-74.

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