论文信息 - Bounds for Bernstein basis functions and Meyer-Konig and Zeller basis functions

Bounds for Bernstein basis functions and Meyer-Konig and Zeller basis functions

Abstract In this paper, the inequality estimates of Bernstein basis functions and Meyer–Konig and Zeller basis functions are studied. Exact bounds for these two basis functions are obtained. Moreover, some application results of the new estimates in estimating the rate of convergence of Durrmeyer operators and Meyer–Koning and Zeller operators for functions of bounded variation are also given.

Zeng Xiao-ming | Zeng Xiao-ming

[1] Shunsheng Guo. On the rate of convergence of the integrated Meyer-Ko¨ig and Zeller operators for functions of bounded variation , 1989 .

[2] Vijay Gupta. A sharp estimate on the degree of approximation to functions of bounded variation by certain operators , 1995, Approximation Theory and its Applications.

[3] George G. Lorentz,et al. Deferred Bernstein polynomials , 1951 .

[4] On the rate of convergence of the Durrmeyer operator for functions of bounded variation , 1987 .

[5] Fuhua Cheng,et al. Rate of convergence of Bernstein polynomials for functions with derivatives of bounded variation , 1989 .