On some convexities of Orlicz and Orlicz-Bochner spaces
S. Chen, Henryk Hudzik (1988)
Commentationes Mathematicae Universitatis Carolinae
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S. Chen, Henryk Hudzik (1988)
Commentationes Mathematicae Universitatis Carolinae
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Henryk Hudzik (1985)
Studia Mathematica
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Paweł Kolwicz, Ryszard Płuciennik (1995)
Commentationes Mathematicae Universitatis Carolinae
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In this paper there is proved that every Musielak-Orlicz space is reflexive iff it is -convex. This is an essential extension of the results given by Ye Yining, He Miaohong and Ryszard Płuciennik [16].
Henryk Hudzik (1989)
Revista Matemática de la Universidad Complutense de Madrid
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Hudzik, H. (1981)
Portugaliae mathematica
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Tomasz Szostok (2011)
Banach Center Publications
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In Orlicz spaces theory some strengthened version of the Jensen inequality is often used to obtain nice geometrical properties of the Orlicz space generated by the Orlicz function satisfying this inequality. Continuous functions satisfying the classical Jensen inequality are just convex which means that such functions may be described geometrically in the following way: a segment joining every pair of points of the graph lies above the graph of such a function. In the current paper we...
Fatiha Boulahia, Mohamed Morsli (2010)
Commentationes Mathematicae Universitatis Carolinae
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We characterize the uniform non-squareness and the property of Besicovitch-Orlicz spaces of almost periodic functions equipped with Orlicz norm.
Grzegorz Lewicki (1997)
Collectanea Mathematica
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In this note we present an affirmative answer to the problem posed by M. Baronti and C. Franchetti (oral communication) concerning a characterization of Lp-spaces among Orlicz sequence spaces. In fact, we show a more general characterization of Orlicz spaces isometric to Lp-spaces.