Another weighted approximation of functions with singularities by combinations of Bernstein operators

2010/07/07 by Wen-ming Lu, Lin Zhang, Lu, Wen-ming +1 · 1 citation
Mathematics · #Advanced Banach Space Theory #Approximation Theory and Sequence Spaces #Fixed Point Theorems Analysis #math.FA

paper · pdf · doi:10.48550/arxiv.1007.1044

15 pages, latex

arxiv created 2011/06/25 · arxiv updated 2011/06/28

Abstract

A new type of combinations of Bernstein operators is given in [1]. Here, we introduce another one, which can be used to approximate the functions with singularities. The direct and inverse results of the weighted approximation of this new type combinations are given.

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