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A Class of Integral Operators that Fix Exponential Functions
Mediterranean Journal of Mathematics ( IF 1.1 ) Pub Date : 2021-07-12 , DOI: 10.1007/s00009-021-01819-0
Carlo Bardaro 1 , Ilaria Mantellini 1 , Gumrah Uysal 2 , Basar Yilmaz 3
Affiliation  

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.



中文翻译:

一类定指数函数的积分算子

在本文中,我们介绍了一类固定指数函数的积分算子,其中包含几个最近修改的 Gauss-Weierstrass 算子,或 Picard 或矩类型算子。研究了逐点收敛定理,使用了Korovkin型定理,得到了Voronovskaja型公式。

更新日期:2021-07-12
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