一类推广的Bernstein-Kantorovich算子在Bα空间中加权逼近的等价定理

J4 ›› 2011, Vol. 46 ›› Issue (4): 93-97.

一类推广的Bernstein-Kantorovich算子在B_α空间中加权逼近的等价定理

韩宗贤,孙渭滨

宁夏大学数学计算机学院, 宁夏银川 750021

收稿日期:2009-12-10 发布日期:2011-04-21
作者简介:韩宗贤(1984- ),女,硕士研究生,研究方向为函数逼近论.Email:hzxian1632@163.com
基金资助:
宁夏高等学校科研基金资助项目(004M33)

Equivalent theorem of weighted approximation for a kind of generalized Bernstein-Kantorovich operators in B_αspaces

HAN Zong-xian, SUN Wei-bin

School of Mathematics and Computer Science, Ningxia University, Yinchuan 750021, Ningxia, China

Received:2009-12-10 Published:2011-04-21

摘要/Abstract

摘要：

研究在B_α空间中一类推广的Bernstein-Kantorovich算子L_n(f,s_n,x)的逼近性质,利用Ditzian-Totik光滑模ω²_φ (f,t)_Bα给出了算子L_n(f,s_n,x)的逼近正定理及Steckin-Marchaud不等式。

关键词: B_α空间;一类推广的Bernstein-Kantorovich算子;逼近;正定理;加权光滑模;Steckin-Marchaud不等式

Abstract:

Some approximate properties is studied by a kind of generalized Bernstein-Kantorovich operators L_n(f,s_n,x) defined in Bα spaces. Using Dizian-Totik moduli of smoothness ω²_φ (f,t)_Bα, direct theorems and Steckin-Marchaud inequalities on operators L_n(f,s_n,x) are obtained.

Key words: B_α spaces; a kind of generalized Bernstein-Kantorovich operators; approximation; weighted smooth modulus; direct theorems; Steckin-Marchaud inequalities

韩宗贤,孙渭滨. 一类推广的Bernstein-Kantorovich算子在B_α空间中加权逼近的等价定理[J]. J4, 2011, 46(4): 93-97.

HAN Zong-xian, SUN Wei-bin. Equivalent theorem of weighted approximation for a kind of generalized Bernstein-Kantorovich operators in B_αspaces[J]. J4, 2011, 46(4): 93-97.

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