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paper

Direct and Inverse Estimates for Combinations of Bernstein Polynomials with Endpoint Singularities

arXiv:1008.1439

Abstract

We give direct and inverse theorems for the weighted approximation of functions with endpoint singularities by combinations of Bernstein polynomials by the $r$th Ditzian-Totik modulus of smoothness $ω_ϕ^{r}(f,t)_w$ where $ϕ$ is an admissible step-weight function.

10 pages, latex