Approximation of Generalized Bernstein Operators

Approximation of Generalized Bernstein Operators

This paper is devoted to study direct and converse approximation theorems of the generalized Bemstein operators Cn （f, sn,x） via so-called unified modulus ωφλ^2 （f,t）, 0 ≤ λ ≤1. We obtain main results as follows ωφλ^2 （f,t）=O（t^α）←→｜Cn（f,sn,x）-f（x）｜=O（（n^-1/2δn^1-λ（x））^α）, where δn^2（x）=max{φ^2（x）,1...

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Veröffentlicht in:Analysis in theory & applications 2014, Vol.30 (2), p.205-213
1. Verfasser: Xiru Yang Chungou Zhang Yingdian Ma
Format: Artikel
Sprache:chi ; eng
Schlagworte:
Bernstein算子
SN
广义
直接和
运营商
逼近定理
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description This paper is devoted to study direct and converse approximation theorems of the generalized Bemstein operators Cn （f, sn,x） via so-called unified modulus ωφλ^2 （f,t）, 0 ≤ λ ≤1. We obtain main results as follows ωφλ^2 （f,t）=O（t^α）←→｜Cn（f,sn,x）-f（x）｜=O（（n^-1/2δn^1-λ（x））^α）, where δn^2（x）=max{φ^2（x）,1/n} and 0〈α〈2.
doi_str_mv 10.4208/ata.2014.v30.n2.6
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subjects Bernstein算子
SN
广义
直接和
运营商
逼近定理
title Approximation of Generalized Bernstein Operators
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