Approximation by Bezier variant of the Szasz-Kantorovich operators in case α < 1

被引：2

作者：

Gupta, Vijay ^{[1
]}

Zeng, Xiao-Ming ^{[2
]}

机构：

[1] Netaji Subhas Inst Technol, Sch Appl Sci, New Delhi 110078, India

[2] Xiamen Univ, Dept Math, Xiamen 361005, Peoples R China

来源：

GEORGIAN MATHEMATICAL JOURNAL | 2010年 / 17卷 / 02期

基金：

美国国家科学基金会;

关键词：

Approximation; Szasz-Kantorovich operators; Bezier variant; locally bounded functions; Lebesgue-Stieltjes integral; BOUNDED VARIATION; BERNSTEIN POLYNOMIALS; CONVERGENCE;

D O I：

10.1515/GMJ.2010.017

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The present paper deals with the Bezier variant of the Szasz-Kantorovich operator. Its approximation properties are studied. A convergence theorem of this type approximation operators for locally bounded functions is established, which subsumes the approximation of functions of bounded variation as a special case.

引用

页码：253 / 260

页数：8

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Approximation by Bezier variant of the Szasz-Kantorovich operators in case α &lt; 1

Approximation by Bezier variant of the Szasz-Kantorovich operators in case α < 1