Baskakov-Kantorovich算子的完全渐进展开

数学季刊 ›› 2009, Vol. 24 ›› Issue (3): 338-342.

Baskakov-Kantorovich算子的完全渐进展开

Department of Mathematics, Capital Normal University

收稿日期:2006-11-16 出版日期:2009-09-30 发布日期:2023-06-26
作者简介: WANG Quan-e(1981- ), female, native of Xinyang, Henan, graduate student of Capital Normal University, engages in approximation theory of function; ZHANG Chun-gou(1962- ), male, native of Yongxin, Jiangxi, an associate professor of Capital Normal University, engages in approximation theory of function.
基金资助:
Supported by the Natural Science Foundation of Beijing(1072006)； Supported by NSFC(10871017)；

The Complete Asymptotic Expansion for the Baskakov-Kantorovich Operators

Department of Mathematics, Capital Normal University

Received:2006-11-16 Online:2009-09-30 Published:2023-06-26
About author: WANG Quan-e(1981- ), female, native of Xinyang, Henan, graduate student of Capital Normal University, engages in approximation theory of function; ZHANG Chun-gou(1962- ), male, native of Yongxin, Jiangxi, an associate professor of Capital Normal University, engages in approximation theory of function.
Supported by:
Supported by the Natural Science Foundation of Beijing(1072006)； Supported by NSFC(10871017)；

摘要/Abstract

摘要： In this paper, we derive the Baskakov-Kantorovich operators V_n(f;x) the complete asymptotic expansion in the form of all coefficients of n^-k_,k = 0,1… being calculated explicitly. As a corollary, we also get the Voronovskaja-type result for the operators.

关键词: the Baskakov operators, the Baskakov-Kantorovich operators, complete asymptotic expansion, Stirling numbers

Abstract: In this paper, we derive the Baskakov-Kantorovich operators V_n(f;x) the complete asymptotic expansion in the form of all coefficients of n^-k_,k = 0,1… being calculated explicitly. As a corollary, we also get the Voronovskaja-type result for the operators.

Key words: the Baskakov operators, the Baskakov-Kantorovich operators, complete asymptotic expansion, Stirling numbers

中图分类号:

O177

王全娥, 张春苟. Baskakov-Kantorovich算子的完全渐进展开[J]. 数学季刊, 2009, 24(3): 338-342.

WANG Quan-e, ZHANG Chun-gou. The Complete Asymptotic Expansion for the Baskakov-Kantorovich Operators [J]. Chinese Quarterly Journal of Mathematics, 2009, 24(3): 338-342.