Rate of approximation by a new sequence of linear positive operators

被引：21

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 | 2003年 / 45卷 / 12期

关键词：

linear positive operators; bounded variation; modulus of variation; direct theorems; simultaneous approximation;

D O I：

10.1016/S0898-1221(03)90010-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the present paper, we study the rate of pointwise approximation by a new sequence of linear positive operators for functions of bounded variation. To prove the main result, we have used some results of probability theory. In the end, we also introduce the Bezier variant of these newly introduced sequences of linear positive operators. (C) 2003 Elsevier Science Ltd. All rights reserved.

引用

页码：1895 / 1904

页数：10

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