Pointwise weighted approximation of functions with inner singularities by Bernstein operators

2010/07/15 by Wen-ming Lu, Lin Zhang, Lu, Wen-ming +1
Mathematics · #FOS: Mathematics #Functional Analysis (math.FA) #math.FA

paper · pdf · doi:10.48550/arxiv.1007.2562

13 pages, latex

arxiv created 2011/05/24 · arxiv updated 2011/05/25

Abstract

We consider the pointwise weighted approximation by Bernstein operators with inner singularities. The related weight functions are weights w(x)=|x-ξ|^α(0<ξ<1, α>0). In this paper we give direct and inverse results of this type of Bernstein polynomials.

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