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.
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收藏
页码：2709 / 2731
页数：23
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