Pointwise weighted approximation of functions with inner singularities by Bernstein operators

preprint2011arXivOpen access

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

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Pointwise weighted approximation of functions with inner singularities by Bernstein operators

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