English

Pointwise weighted approximation of functions with inner singularities by Bernstein operators

Functional Analysis 2011-05-25 v5

Abstract

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

Keywords

Cite

@article{arxiv.1007.2562,
  title  = {Pointwise weighted approximation of functions with inner singularities by Bernstein operators},
  author = {Wen-ming Lu and Lin Zhang},
  journal= {arXiv preprint arXiv:1007.2562},
  year   = {2011}
}

Comments

13 pages, latex

R2 v1 2026-06-21T15:48:29.055Z