Multidimensional Kantorovich modifications of exponential sampling series

被引：20
作者：
Acar, Tuncer [1 ]
Kursun, Sadettin [1 ]
Turgay, Metin [1 ]
机构：
[1] Selcuk Univ, Fac Sci, Dept Math, TR-42003 Selcuklu, Konya, Turkey
来源：
QUAESTIONES MATHEMATICAE | 2023年 / 46卷 / 01期
关键词：
Primary; Secondary; Exponential sampling series; Kantorovich operators; rate of convergence; Voronovskaja type theorem; APPROXIMATION; OPERATORS;
D O I：
10.2989/16073606.2021.1992033
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This paper is devoted to construction of multidimensional Kantorovich modifications of exponential sampling series, which allows to approximate suitable measurable functions by considering their mean values on just one section of the function involved. Approximation behaviour of newly constructed operators is investigated at continuity points for log-uniformly continuous functions. The rate of convergence of the series is presented for the same functions by means of logarithmic modulus of continuity. A Voronovskaja type theorem is also presented by means of Mellin derivatives.
引用
收藏
页码：57 / 72
页数：16
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