ESTIMATE ON RATE OF CONVERGENCE OF THE INTEGRAL TYPE LUPAS-BÉZIER OPERATORS

Ping-Hua Wang (P. R. China), Qing-Bo Cai (P. R. China) and Zhi-Wei Li (P. R. China)

Received September 18, 2007

Abstract

In this paper, we study the rate of convergence of the integral type Lupas-Bézier operators for integrable functions f on  and obtain an accurate estimation on the rate of convergence of this type. Our result improves the result of Zeng and Wang [6] by giving more exactly estimate coefficients.

Keywords and phrases: integral type Lupas-Bézier operator, rate of convergence, estimates of coefficient.