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EnglishWe 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.
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| Titolo: | Modular convergence theorems for integral operators in the context of filter exhaustiveness and applications |
| Autori: | |
| Data di pubblicazione: | 2013 |
| Rivista: | |
| Abstract: | We prove some modular convergence theorems for nonlinear Urysohn-type integral operators, applyin...g 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. |
| Handle: | http://hdl.handle.net/11391/925930 |
| Appare nelle tipologie: | 1.1 Articolo in rivista |
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http://hdl.handle.net/11391/925930
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