A contribution to the theory of modular spaces
Musielak, J.
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Musielak, J.
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A. G. Aksoy, J.-B. Baillon (1993)
Collectanea Mathematica
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In this paper we show that the ball-measure of non-compactness of a norm bounded subset of an Orlicz modular space L-Psi is equal to the limit of its n-widths. We also obtain several inequalities between the measures of non-compactness and the limit of the n-widths for modular bounded subsets of L-Psi which do not have Delta-2-condition. Minimum conditions on Psi to have such results are specified and an example of such a function Psi is provided.
Marzouki, B. (2002)
Southwest Journal of Pure and Applied Mathematics [electronic only]
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Carlo Bardaro, Ilaria Mantellini (2006)
Mathematica Slovaca
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Marian Nowak (1989)
Commentationes Mathematicae Universitatis Carolinae
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