Abstract and Applied Analysis
Volume 1 (1996), Issue 4, Pages 397-406

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

Received 2 July 1996

Copyright © 1996 Shunsheng Guo et al. 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.


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.