BLENDING TYPE APPROXIMATION BY GENERALIZED BERNSTEIN-DURRMEYER TYPE OPERATORS

被引：48

作者：

Kajla, Arun ^{[1
]}

Acar, Tuncer ^{[2
]}

机构：

[1] Cent Univ Haryana, Dept Math, Chandigarh 123031, Haryana, India

[2] Selcuk Univ, Fac Sci, Dept Math, TR-42003 Selcuklu, Konya, Turkey

来源：

MISKOLC MATHEMATICAL NOTES | 2018年 / 19卷 / 01期

关键词：

local approximation; global approximation; asymptotic formula; bounded variation; SZASZ-TYPE OPERATORS; HYBRID OPERATORS;

D O I：

10.18514/MMN.2018.2216

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this article we construct a Durrmeyer modification of the operators introduced by Chen et al. in [10] based on a non-negative real parameter. We establish local approximation, global approximation, Voronovskaja type asymptotic theorem. The rate of convergence for differentiable functions whose derivatives are of bounded variation is also obtained.

引用

页码：319 / 336

页数：18

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