Journal of Inequalities and Applications 
Volume 6 (2001), Issue 5, Pages 563-575
doi:10.1155/S1025583401000340

Exact bounds for some basis functions of approximation operators

Xiao-Ming Zeng and Jun-Ning Zhao

Department of Mathematics, Xiamen University, Xiamen 361005, China

Received 19 January 2000; Revised 3 March 2000

Abstract

The exact bounds of Bernstein basic functions and Meyer-Konig and Zeller basis functions have been determined in [J. Math. Anal. Appl., 219 (1998), 364–376]. In this note the exact bounds of some other basis functions of approximation operators and corresponding probability distributions are determined.