CONVERSE

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Approximation of Generalized Bernstein Operators
《Analysis in Theory and Applications》2014年第2期205-213,共9页Xiru Yang Chungou Zhang Yingdian Ma 
Supported by the Natural Science Foundation of China (No. 11271263, 11371258)
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 fol...
关键词：Bernstein type operator Ditzian-Totik modulus direct and converse approximation theorem. 
SOME CONVERSE RESULTS ON ONESIDED APPROXIMATION: JUSTIFICATIONS
《Analysis in Theory and Applications》2003年第3期280-288,共9页WangJianli ZhouSongping 
Supported in part by National and Zhejiang Provincial Natural Science Foundations of China.Partof the work contained in this paper was done while the second named author was visiting Simon Fraser University,Canada,he thanks Dr.P.B.Borwein and the Depa
The present paper deals with best onesided approximation rate in L p spaces n(f) L p of f∈C 2π. Although it is clear that the estimate n(f) L p≤C‖f‖ L p cannot be correct for all f∈L ...
关键词：onesided approximation L  p space modulus of continuity 
BEST DIRECT AND CONVERSE RESULTS FOR LAGRANGE-TYPE OPERATORS
《Analysis in Theory and Applications》1995年第2期76-93,共18页D. H. Mache D. X. Zhou 
The second author is supported by the Alexander von Humboldt-Stiftung.
The aim of this paper is to give direct and converse theorems for the approximation by using a discretely defined method Ln (see D. H. Mache [10], which is a modification of the Lagrange operator. Furthermore we obta...
关键词：BEST DIRECT AND CONVERSE RESULTS FOR LAGRANGE-TYPE OPERATORS 
DIRECT AND CONVERSE RESULTS FOR LINEAR COMBINATIONS OF BASKAKOV-DURRMRYER OPERATORS
《Analysis in Theory and Applications》1993年第3期61-72,共12页Li Bingzheng (Zhejiang University,China) 
Zhejiang Provincial Foundation of China
We consider the linear combinations of Baskakov-Durrmeyer operators and give the characterization in terms of the classical modulous of smoothness for ∞-norm by the means of the pointwise simultanrous ap- proximation...
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