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5. Approximation of Generalized Bernstein Operators

Approximation of Generalized Bernstein Operators

来源 :分析、理论与应用（英文版） | 被引量 : 0次 | 上传用户：kkfhvk1

【摘 要】

：

This paper is devoted to study direct and converse approximation theo-rems of the generalized Bernstein operators Cn( f ,sn,x) via so-called unified modulusω2?

【作 者】

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Xiru Yang Chungou Zhang Yingdi 

【机 构】

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School of Mathematical Sciences,Department of Information Administration

【出 处】

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分析、理论与应用（英文版）

【发表日期】

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2004年期

【关键词】

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Bernstein type operator Ditzian-Totik modulus direct and converse approximation 

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This paper is devoted to study direct and converse approximation theo-rems of the generalized Bernstein operators Cn( f ,sn,x) via so-called unified modulusω2?λ( f ,t), 0≤λ≤1. We obtain main results as followsω2?λ( f ,t)=O(tα)??whereδ2n(x)=max{?2(x),1/n}and 0

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