Convergence in φ-variation for Mellin-type nonlinear integral operators

被引：0

作者：

Aslan, Ismail ^{[1
]}

机构：

[1] Hacettepe Univ, Dept Math, TR-06800 Ankara, Turkiye

来源：

JOURNAL OF ANALYSIS | 2024年

关键词：

Mellin-type operators; Convergence in phi-variation; phi-absolutely continuous functions; Summability process; EXPONENTIAL-SAMPLING METHOD; APPROXIMATION;

D O I：

10.1007/s41478-024-00760-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In the present paper, we examine Mellin-type nonlinear integral operators equipped with the Haar measure. Using phi-absolutely continuous functions, we obtain some approximations via summability process. Order of convergence is also observed. In addition, we have a general characterization theorem for phi-absolutely continuous functions. Finally, we give an application of our study with some illustrations and numerical computations.

引用

页码：2709 / 2731

页数：23

共 36 条

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