The Bezier variant of Kantorovitch operators

被引：0
|
作者：
Gupta, V [1 ]
机构：
[1] Netaji Subhas Inst Technol, Sch Appl Sci, New Delhi 110045, India
来源：
COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2004年 / 47卷 / 2-3期
关键词：
rate of convergence; bounded variation; total variation; Baskakov-Kantorovitch operators; Szasz-Kantorovitch operators;
D O I：
10.1016/S0898-1221(04)90019-3
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In the present paper, we define generalized Kantorovitch-type operators, for particular values our operators reduce to the well-known Szasz-Kantorovitch operators and Baskakov-Kantorovitch operators. We estimate the rate of convergence of the Bezier variant of these generalized operators for bounded variation functions. Here we also remark that for a particular value (c = 0) the second central moment was not estimated correctly in [1], which leads to the major error in the main results of [1]. (C) 2004 Elsevier Ltd. All rights reserved.
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页码：227 / 232
页数：6
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