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Modular Filter Convergence Theorems for Urysohn Integral Operators and Applications 被引量:1

Modular Filter Convergence Theorems for Urysohn Integral Operators and Applications
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摘要 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. 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.
出处 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2013年第6期1055-1066,共12页 数学学报(英文版)
基金 Supported by Universities of Perugia and Athens
关键词 Egorov filter Lebesgue filter filter convergence filter exhaustiveness filter singularity integral operator Mellin operator modular convergence modular space Egorov filter, Lebesgue filter, filter convergence, filter exhaustiveness, filter singularity, integral operator, Mellin operator, modular convergence, modular space
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