APPROXIMATION BY GENUINE LUPAS-BETA-STANCU OPERATORS

被引：3

作者：

Kumar, Alok ^{[1
]}

Vandana ^{[2
]}

机构：

[1] Dev Sanskriti Vishwavidyalaya, Dept Comp Sci, Haridwar 249411, Uttarakhand, India

[2] Indian Inst Technol, Dept Management Studies, Madras 600036, Tamil Nadu, India

来源：

JOURNAL OF APPLIED MATHEMATICS & INFORMATICS | 2018年 / 36卷 / 1-2期

关键词：

Voronovskaja-type theorem; K-functional; rate of convergence; modulus of continuity; weighted approximation;

D O I：

10.14317/jami.2018.015

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we introduce a Stancu type generalization of genuine Lupas-Beta operators of integral type. We establish some moment estimates and the direct results in terms of classical modulus of continuity, Voronovskaja-type asymptotic theorem, weighted approximation, rate of convergence and pointwise estimates using the Lipschitz type maximal function. Lastly, we propose a king type modification of these operators to obtain better estimates.

引用

页码：15 / 28

页数：14

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