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

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