We prove some modular convergence theorems for nonlinear Urysohn-type integral operators, applying filter convergence of sequences of functions. We use the tool of filter exhaustiveness, and we give several applications, in particular to Mellin operators, including moment, Mellin-Poisson-Cauchy and Mellin-Gauss-Weierstrass operators. We give some example, in which we show that our results are proper extensions of the classical ones.
Modular convergence theorems for integral operators in the context of filter exhaustiveness and applications
BOCCUTO, Antonio;
2013
Abstract
We prove some modular convergence theorems for nonlinear Urysohn-type integral operators, applying filter convergence of sequences of functions. We use the tool of filter exhaustiveness, and we give several applications, in particular to Mellin operators, including moment, Mellin-Poisson-Cauchy and Mellin-Gauss-Weierstrass operators. We give some example, in which we show that our results are proper extensions of the classical ones.File in questo prodotto:
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