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Pointwise Approximation for the Iterated Boolean Sums of Bernstein Operators

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In this paper,with the help of modulus of smoothness ω2r(4)(f,t),we discuss the pointwise approximation properties for the iterated Boolean sums of Bernstein operator Bnn and obtain direct and inverse theorems when 1-1/r ≤ λ ≤ 1,r ∈ N.

Bernstein operatorsthe iterated Boolean sumsmodulus of smoothness

HUO Xiao-yan、LI Cui-xiang、YAO Qiu-mei

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Department of Mathematics, Mechanical Engineering College, Shijiazhuang 050003, China

College of Mathematics and Information Science, Hebei Normal University, Shijiazhuang 050016, China

Department of Mathematics, Hebei Women's Vocational College, Shijiazhuang 050091, China

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NNSF of China

10771049

2013

数学季刊(英文版)
河南大学

数学季刊(英文版)

CSTPCDCSCD
影响因子：0.201
ISSN：1002-0462
年,卷(期)：2013.28(1)
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