On Urysohn type Generalized Sampling Operators

被引：0

作者：

Karsli, Harun ^{[1
]}

机构：

[1] Abant Izzet Baysal Univ, Fac Sci & Arts, Dept Math, TR-14030 Golkoy Bolu, Turkey

来源：

DOLOMITES RESEARCH NOTES ON APPROXIMATION | 2021年 / 14卷

关键词：

generalized sampling series; interpolation; Urysohn integral operators; approximation; APPROXIMATION PROPERTIES; INTEGRAL-OPERATORS; CONVERGENCE;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The aim of this work is to define and study Urysohn type integral form of generalized sampling operators by using the Urysohn type interpolation of the given function f. The basis used in this construction are the Frechet and Prenter Denstity theorems together with Urysohn type operator values instead of the rational sampling values of the function. After that, we investigate some properties of this operators in some function spaces. At the end of this study, some graphical representations for the various examples are given related with the Urysohn type sampling operators.

引用

页码：58 / 67

页数：10

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