Abstract and Applied Analysis

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Abstract and Applied Analysis / 1996 / Article

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Volume 1 |Article ID 363891 | 10 pages | https://doi.org/10.1155/S1085337596000218

A pointwise approximation theorem for linear combinations of Bernstein polynomials

Shunsheng Guo,1 Shujie Yue,1 Cuixiang Li,1 Ge Yang,1 and Yiguo Sun1

1Department of Mathematics, Hebei Teacher's University, China

Received02 Jul 1996

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.

Copyright © 1996 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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