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Baskakov型算子同时逼近的点态估计
引用本文:郭顺生,吕桂稳,张更生. Baskakov型算子同时逼近的点态估计[J]. 高等学校计算数学学报, 2003, 25(4): 303-316
作者姓名:郭顺生  吕桂稳  张更生
作者单位:1. 河北师范大学数学系,石家庄,050016
2. 石家庄铁道学院数理系,石家庄,050043
基金项目:河北省自然科学基金(101090),河北师范大学重点基金
摘    要:In this paper, for Baskakov, Baskakov-Kantorovich and Baskakov-Durrmyer operators Ln(f,x),we give a simultaneous approximation of equivalent theorem with ω^2ψλ (f, t) The theorem unites the corrosponding results of classical and the Ditzian-Totik moduli of smoothness.

关 键 词:Baskakov型算子 点态估计 点态逼近 Hoder不等式
修稿时间:2002-05-08

SIMULTANEOUS APPROXIMATION FOR BASKAKOV-TYPE OPERATORS
Guo Shunsheng. SIMULTANEOUS APPROXIMATION FOR BASKAKOV-TYPE OPERATORS[J]. Numerical Mathematics A Journal of Chinese Universities, 2003, 25(4): 303-316
Authors:Guo Shunsheng
Abstract:In this paper, for Baskakov, Baskakov-Kantorovich and Baskakov-Durrmyer operators Ln(f,x),we give a simultaneous approximation of equivalent theorem with w2(f,t). The theorem unites the corresponding results of classical and the Ditzian-Totik moduli of smoothness.
Keywords:Baskakov type operators   simultaneous approximation   moduli of smoothness  K-functional.
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