# Pointwise weighted approximation of functions with inner singularities by Bernstein operators - Mathematics > Functional Analysis

Abstract: We consider the pointwise weighted approximation by Bernstein operators withinner singularities. The related weight functions are weights$\bar{w}x=|x-\xi|^\alpha0<\xi<1,\ \alpha>0.$ In this paper we give directand inverse results of this type of Bernstein polynomials.

Author: Wen-ming Lu, Lin Zhang

Source: https://arxiv.org/