Geodesic
Characteristic of convexity of Musielak-Orlicz function spaces equipped with the Luxemburg norm
Commentationes Mathematicae Universitatis Carolinae, Tome 33 (1992) no. 4, pp. 615-621.

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In this paper we extend the result of [6] on the characteristic of convexity of Orlicz spaces to the more general case of Musielak-Orlicz spaces over a non-atomic measure space. Namely, the characteristic of convexity of these spaces is computed whenever the Musielak-Orlicz functions are strictly convex.
Classification : 46B20, 46E30
Keywords: Musielak-Orlicz space; modulus of convexity; characteristic of convexity; the $\Delta _2$-condition 
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     title = {Characteristic of convexity of {Musielak-Orlicz} function spaces equipped with the {Luxemburg} norm},
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Hudzik, Henryk; Landes, Thomas. Characteristic of convexity of Musielak-Orlicz function spaces equipped with the Luxemburg norm. Commentationes Mathematicae Universitatis Carolinae, Tome 33 (1992) no. 4, pp. 615-621. http://geodesic.mathdoc.fr/item/CMUC_1992__33_4_a5/