Approximation of -continuous and -differentiable functions by GBS operators defined by infinite sum.
Pop, Ovidiu T. (2009)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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Pop, Ovidiu T. (2009)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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Bărbosu, Dan (2004)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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Pop, Ovidiu T., Farcas, Mircea (2009)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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Carlo Bardaro, Ilaria Mantellini (2006)
Mathematica Slovaca
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Carlo Bardaro, Gianluca Vinti (1997)
Collectanea Mathematica
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Jain, Pankaj, Upreti, Priti (2009)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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Andrzej Kasperski (1995)
Commentationes Mathematicae Universitatis Carolinae
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We introduced the notion of -boundedness of a filtered family of operators in the Musielak-Orlicz sequence space of multifunctions. This notion is used to get the convergence theorems for the families of -linear operators, -dist-sublinear operators and -dist-convex operators. Also, we prove that is complete.
Deo, Naokant (2004)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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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.