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

Published 9 Aug 2010 in math.FA | (1008.1439v3)

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 $\omega_\phi^{r}(f,t)_w$ where $\phi$ is an admissible step-weight function.

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