Bernstein算子迭代布尔和的点态逼近性质

数学季刊 ›› 2013, Vol. 28 ›› Issue (1): 129-138.

Bernstein算子迭代布尔和的点态逼近性质

1. Department of Mathematics, Mechanical Engineering College 2. College of Mathematics and Information Science, Hebei Normal University 3. Department of Mathematics, Hebei Women's Vocational College

收稿日期:2011-09-26 出版日期:2013-03-30 发布日期:2023-03-10
作者简介:HUO Xiao-yan(1982-), female, native of Xingtai, Hebei, a lecturer of Mechanical Engineering College, engages in functional approximation theory; LI Cui-xiang(1971-), female, native of Cixian, Hebei, a professor of Hebei Normal University, Ph.D., engages in functional approximation theory; YAO Qiu-mei(1981-), female, native of Hengshui, Hebei, a lecturer of Hebei Women’s Vocational College, engages in functional approximation theory.
基金资助:
Supported by the NNSF of China(10771049)

Pointwise Approximation for the Iterated Boolean Sums of Bernstein Operators

1. Department of Mathematics, Mechanical Engineering College 2. College of Mathematics and Information Science, Hebei Normal University 3. Department of Mathematics, Hebei Women's Vocational College

Received:2011-09-26 Online:2013-03-30 Published:2023-03-10
About author:HUO Xiao-yan(1982-), female, native of Xingtai, Hebei, a lecturer of Mechanical Engineering College, engages in functional approximation theory; LI Cui-xiang(1971-), female, native of Cixian, Hebei, a professor of Hebei Normal University, Ph.D., engages in functional approximation theory; YAO Qiu-mei(1981-), female, native of Hengshui, Hebei, a lecturer of Hebei Women’s Vocational College, engages in functional approximation theory.
Supported by:
Supported by the NNSF of China(10771049)

摘要/Abstract

摘要： In this paper, with the help of modulus of smoothness ω^2r(f, t), we discuss the pointwise approximation properties for the iterated Boolean sums of Bernstein operator B_n and obtain direct and inverse theorems when 1-1/r ≤λ≤ 1, r ∈N.

关键词: Bernstein operators, the iterated Boolean sums, modulus of smoothness

Abstract: In this paper, with the help of modulus of smoothness ω2r(f, t), we discuss the pointwise approximation properties for the iterated Boolean sums of Bernstein operator B_n and obtain direct and inverse theorems when 1-1/r ≤λ≤ 1, r ∈N.

Key words: Bernstein operators, the iterated Boolean sums, modulus of smoothness

中图分类号:

O174.41

霍晓燕, 李翠香, 姚秋妹. Bernstein算子迭代布尔和的点态逼近性质[J]. 数学季刊, 2013, 28(1): 129-138.

HUO Xiao-yan, LI Cui-xiang, YAO Qiu-mei. Pointwise Approximation for the Iterated Boolean Sums of Bernstein Operators[J]. Chinese Quarterly Journal of Mathematics, 2013, 28(1): 129-138.

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