Displaying similar documents to “On global approximation properties of abstract integral operators in Orlicz spaces and applications.”

Notes on approximation in the Musielak-Orlicz sequence spaces of multifunctions

Andrzej Kasperski (1995)

Commentationes Mathematicae Universitatis Carolinae

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We introduced the notion of ( 𝐗 , dist , 𝒱 ) -boundedness of a filtered family of operators in the Musielak-Orlicz sequence space X ϕ of multifunctions. This notion is used to get the convergence theorems for the families of 𝐗 -linear operators, 𝐗 -dist-sublinear operators and 𝐗 -dist-convex operators. Also, we prove that X ϕ is complete.

Lupaş-Durrmeyer operators.

Deo, Naokant (2004)

JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]

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On modular approximation property in the Besicovitch-Orlicz space of almost periodic functions

Mohamed Morsli (1997)

Commentationes Mathematicae Universitatis Carolinae

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We investigate some convergence questions in the class of Besicovitch-Orlicz spaces of vector valued functions. Next, the existence problem of the projection operator on closed convex subsets is considered in the class of almost periodic functions. This problem was considered in [5], in the case of an Orlicz space. The approximation property obtained in both cases are of the same kind. However, the arguments which are used in the proofs are different.