On the order of modular approximation for nets of integral operators in modular Lipschitz classes (Q1280013)

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scientific article; zbMATH DE number 1251478
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On the order of modular approximation for nets of integral operators in modular Lipschitz classes
scientific article; zbMATH DE number 1251478

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    On the order of modular approximation for nets of integral operators in modular Lipschitz classes (English)
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    17 February 1999
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    For nets of linear and also nonlinear integral operators of convolution type acting on functions in modular function spaces (generated by a modular functional) and satisfying in addition some general Lipschitz condition in terms of a comparison function the degree of approximation is studied. The very general results of the paper include in particular estimates for Lipschitz classes in \(L_p\)-spaces, Orlicz spaces and Musielak-Orlicz spaces.
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    integral operators
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    modular space
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    modular Lipschitz classes
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    order of approximation
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