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Abstract
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Abstract and Applied Analysis
Volume 1 (1996), Issue 4, Pages 397-406
doi:10.1155/S1085337596000218

A pointwise approximation theorem for linear combinations of Bernstein polynomials

Shunsheng Guo , Shujie Yue , Cuixiang Li , Ge Yang and Yiguo Sun

Department of Mathematics, Hebei Teacher's University, Shijiazhuang 050016, China

Abstract

Recently, Z. Ditzian gave an interesting direct estimate for Bernstein polynomials. In this paper we give direct and inverse results of this type for linear combinations of Bernstein polynomials.