Direct results for a certain family of summation-integral type operators

被引：18

作者：

Srivastava, H. M. ^{[1
]}

Finta, Zoltan

Gupta, Vijay

机构：

[1] Univ Victoria, Dept Math & Stat, Victoria, BC V8W 3P4, Canada

[2] Univ Babes Bolyai, Dept Math, R-400084 Cluj Napoca, Romania

[3] Netaji Subhas Inst Technol, Sch Appl Sci, New Delhi 110075, India

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2007年 / 190卷 / 01期

基金：

加拿大自然科学与工程研究理事会;

关键词：

linear positive operators; bounded variation; total variation; rate of convergence; Taylor's expansion; approximation properties;

D O I：

10.1016/j.amc.2007.01.039

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the present paper, we establish some local and global direct results for a certain family of summation-integral operators B-n. We also estimate the rate of convergence of B-n(f) for a function f having derivatives of bounded variation. (c) 2007 Elsevier Inc. All rights reserved.

引用

页码：449 / 457

页数：9

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