A Class of Integral Operators that Fix Exponential Functions

被引：0
|
作者：
Carlo Bardaro
Ilaria Mantellini
Gumrah Uysal
Basar Yilmaz
机构：
[1] University of Perugia,Department of Mathematics and Computer Sciences
[2] Karabuk University,Division of Technology of Information Security, Department of Computer Technology
[3] Kirikkale University,Department of Mathematics, Faculty of Science and Arts
来源：
Mediterranean Journal of Mathematics | 2021年 / 18卷
关键词：
Convolution integrals; Exponential moments; Weighted moduli of continuity; Voronovskaja formula; Primary 42C15; Secondary 46E22; 94A20;
D O I：
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中图分类号：
学科分类号：
摘要：
In this paper we introduce a general class of integral operators that fix exponential functions, containing several recent modified operators of Gauss–Weierstrass, or Picard or moment type operators. Pointwise convergence theorems are studied, using a Korovkin-type theorem and a Voronovskaja-type formula is obtained.
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