Pointwise Weighted Approximation of Functions with Endpoint Singularities by Combinations of Bernstein Operators

Lu Wenming; Jin-Ping Jia

Lu Wenming School of Science, Hangzhou Dianzi Unviersity, Hangzhou, People's Republic of China
Jin-Ping Jia School of Mathematics and Statistics, Tianshui Normal University, People's Republic of China

Keywords: Combinations of Bernstein polynomials, Functions with endpoint singularities, Direct and inverse results.

Abstract

We give direct and inverse theorems for the weighted approximation of functions with endpoint singularities by combinations of Bernstein operators.

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