科研之友
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摘要
The pointwise approximation properties of the Bezier variant of the MKZ-Kantorovich operators (M) over cap (n,alpha) (f,x) for alpha >= 1 have been studied in [Comput. Math. Appl., 39 (2000), 1-13]. The aim of this paper is to deal with the pointwise approximation of the operators (M) over cap (n,alpha) (f,x) for the other case 0 < alpha < 1. By means of some new techniques and new inequalities we establish an estimate formula on the rate of convergence of the operators (M) over cap (n,alpha) (f,x) for the case 0 < alpha < 1. In the end we propose the analogue of MKZK operators.
