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

References:

[1] F. Cheng, On the rate of convergence of Bernstein polynomials of functions of bounded variation, J. Approx. Theory 39 (1983), 476-483. [2] S. Guo, On the rate of convergence of the Lupas operators for functions of bounded variation, J. Approx. Theory 51 (1987), 183-192. [3] V. Gupta and D. Kumar, Rate of convergence of modified Baskakov operators, Demonstratio Math. 30 (1997), 339-346. [4] A. Sahai and G. Prasad, On simultaneous approximation by modified Lupas operators, J. Approx. Theory 45 (1985), 122-128. [5] Y. Wang and S. Guo, Rate of approximation of functions of bounded variation by modified Lupas operators, Bull. Austral Math. Soc. 44 (1991), 183-192. [6] X. M. Zeng and T. Wang, Rate of convergence of the integral type Lupas-Bézier operators, Kyungpook Math J. 43(4) (2003), 593-604.

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