The rate of convergence of a generalization of Post-Widder operators and Rathore operators

被引：3

作者：

Abel, Ulrich ^{[1
]}

Gupta, Vijay ^{[2
]}

机构：

[1] TH Mittelhessen, Dept MND, Wilhelm Leuschner Str 13, D-61169 Friedberg, Germany

[2] Netaji Subhas Univ Technol, Dept Math, Sect 3 Dwarka, New Delhi 110078, India

来源：

ADVANCES IN OPERATOR THEORY | 2023年 / 8卷 / 03期

关键词：

Gamma type operators; Post-Widder operators; Generalized Rathore operators; Rate of convergence; Functions of bounded variation; Complete asymptotic expansion; WEIGHTED APPROXIMATIONS;

D O I：

10.1007/s43036-023-00272-y

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we study local approximation properties of certain gamma-type operators. They generalize the Post-Widder operators and the Rathore operators, and approximate locally integrable functions satisfying a certain growth condition on the infinite interval [0, 8). We derive the complete asymptotic expansion for these operators and prove a localization result. Also, we estimate the rate of convergence for functions of bounded variation.

引用

页数：15

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