Voronovskaja's theorem for functions with exponential growth

被引：12

作者：

Tachev, Gancho ^{[1
]}

Gupta, Vijay ^{[2
]}

Aral, Ali ^{[3
]}

机构：

[1] Univ Architecture Civil Engn & Geodesy, Dept Math, Sofia 1046, Bulgaria

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

[3] Kirikkale Univ, Dept Math, TR-71450 Kirikkale, Turkey

来源：

GEORGIAN MATHEMATICAL JOURNAL | 2020年 / 27卷 / 03期

关键词：

Linear combinations; linear positive operators; Voronovskaja's theorem; Szasz operators; Baskakov operators; Phillips operators;

D O I：

10.1515/gmj-2018-0041

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In the present paper we establish a general form of Voronovskaja's theorem for functions defined on an unbounded interval and having exponential growth. The case of approximation by linear combinations is also considered. Applications are given for some Szasz-Mirakyan and Baskakov-type operators.

引用

页码：459 / 468

页数：10

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