Modular filter convergence theorems for Urysohn integral operators and applications

被引：12
|
作者：
Boccuto, Antonio [1 ]
Dimitriou, Xenofon [2 ]
机构：
[1] Dipartimento Matemat & Informat, I-06123 Perugia, Italy
[2] Univ Athens, Dept Math, Athens 15784, Greece
来源：
ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2013年 / 29卷 / 06期
关键词：
Egorov filter; Lebesgue filter; filter convergence; filter exhaustiveness; filter singularity; integral operator; Mellin operator; modular convergence; modular space;
D O I：
10.1007/s10114-013-1443-6
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove some versions of modular convergence theorems for nonlinear Urysohn-type integral operators with respect to filter convergence. We consider pointwise filter convergence of functions giving also some applications to linear and nonlinear Mellin operators. We show that our results are strict extensions of the classical ones.
引用
收藏
页码：1055 / 1066
页数：12
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