拟Grünwald插值算子在Wiener空间下平均误差的估计

数学季刊 ›› 2009, Vol. 24 ›› Issue (1): 94-101.

拟Grünwald插值算子在Wiener空间下平均误差的估计

College of Mathematic Science, Tianjin Normal University

收稿日期:2006-05-08 出版日期:2009-03-30 发布日期:2023-09-08
作者简介: LIU Ying(1982- ), female, native of Tianjin, a post graduate of Tianjin Normal University, M.S.D., engages in approximation theory; XU Gui-qiao(1963- ), male, native of Shijiazhuang, Hebei, a professor of Tianjin Normal University, Ph.D., engages in approximation theory.
基金资助:
Supported by the National Natural Science Foundation of China(10471010)；

An Estimation for the Average Error of the Quasi-Grünwald Interpolation in the Wiener Space

College of Mathematic Science, Tianjin Normal University

Received:2006-05-08 Online:2009-03-30 Published:2023-09-08
About author: LIU Ying(1982- ), female, native of Tianjin, a post graduate of Tianjin Normal University, M.S.D., engages in approximation theory; XU Gui-qiao(1963- ), male, native of Shijiazhuang, Hebei, a professor of Tianjin Normal University, Ph.D., engages in approximation theory.
Supported by:
Supported by the National Natural Science Foundation of China(10471010)；

摘要/Abstract

摘要： We obtain an upper bound for the average error of the quasi-Grünwald interpo-lation based on the zeros of Chebyshev polynomial of the second kind in the Wiener space.

关键词: Chebysheve polynomials, quasi-Grünwald interpolation, L2 norm, Wiener
space

Abstract: We obtain an upper bound for the average error of the quasi-Grünwald interpo-lation based on the zeros of Chebyshev polynomial of the second kind in the Wiener space.

Key words: Chebysheve polynomials, quasi-Grünwald interpolation, L2 norm, Wiener
space

中图分类号:

O174.42

刘颖, 许贵桥 . 拟Grünwald插值算子在Wiener空间下平均误差的估计[J]. 数学季刊, 2009, 24(1): 94-101.

LIU Ying, XU Gui-qiao. An Estimation for the Average Error of the Quasi-Grünwald Interpolation in the Wiener Space [J]. Chinese Quarterly Journal of Mathematics, 2009, 24(1): 94-101.

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