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 corresponding classical ones and we give some examples concerning Mellin-Gauss-Weierstrass-type operators.
Modular filter convergence theorems for Urysohn integral operators and applications
BOCCUTO, Antonio;
2013
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 corresponding classical ones and we give some examples concerning Mellin-Gauss-Weierstrass-type operators.File in questo prodotto:
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