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Modular filter convergence theorems for Urysohn integral operators and applications |
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| Authors: | Antonio Boccuto Xenofon Dimitriou |
| Affiliation: | 11443. Dipartimento di Matematica e Informatica, via Vanvitelli, 1, I-06123, Perugia, Italy 21443. Department of Mathematics, University of Athens, Panepistimiopolis, Athens, 15784, Greece |
| 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. |
| Keywords: | Egorov filter Lebesgue filter filter convergence filter exhaustiveness filter singularity integral operator Mellin operator modular convergence modular space |
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