BLENDING TYPE APPROXIMATION BY COMPLEX SZASZ-DURRMEYER-CHLODOWSKY OPERATORS IN COMPACT DISKS

被引：1

作者：

Goyal, Meenu ^{[1
]}

Agrawal, P. N. ^{[2
]}

机构：

[1] Thapar Inst Engn & Technol Patiala, Sch Math, Patiala 147004, Punjab, India

[2] Indian Inst Technol Roorkee, Dept Math, Roorkee 247667, Uttar Pradesh, India

来源：

MATHEMATICA SLOVACA | 2019年 / 69卷 / 05期

关键词：

approximation in compact disks; Voronovskaja theorem; simultaneous approximation; POLYNOMIALS;

D O I：

10.1515/ms-2017-0291

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In the present article, we deal with the overconvergence of the Szasz-Durrmeyer-Chlodowsky operators. Here we study the approximation properties e.g. upper estimates, Voronovskaja type result for these operators attached to analytic functions in compact disks. Also, we discuss the exact order in simultaneous approximation by these operators and its derivatives and the asymptotic result with quantitative upper estimate. In such a way, we put in evidence the overconvergence phenomenon for the Szasz-Durrmeyer-Chlodowsky operators, namely the extensions of approximation properties with exact quantitative estimates and orders of these convergencies to sets in the complex plane that contain the interval [0,infinity). (C) 2019 Mathematical Institute Slovak Academy of Sciences

引用

页码：1077 / 1088

页数：12

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