Modular filter convergence theorems for Urysohn integral operators and applications

Authors
Boccuto, Antonio Dimitriou, Xenofon
Citation
Boccuto, Antonio et Dimitriou, Xenofon, Modular filter convergence theorems for Urysohn integral operators and applications, Acta mathematica Sinica. English series (Print) , 29(6), 2013, pp. 1055-1066
Journal title
Acta mathematica Sinica. English series (Print) → ACNP
ISSN journal
14398516
Volume
29
Issue
6
Year of publication
2013
Pages
1055 - 1066
Database
ACNP
SICI code
Abstract
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.