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Keywords:
local uniform convexity; uniform convexity in every direction; mid point locally uniform; H-property; strict convexity; approximation; Besicovitch-Musielak-Orlicz space; almost periodic function
local uniform convexity; uniform convexity in every direction; mid point locally uniform; H-property; strict convexity; approximation; Besicovitch-Musielak-Orlicz space; almost periodic function
Summary:
In this article, it is shown that geometrical properties such as local uniform convexity, mid point local uniform convexity, H-property and uniform convexity in every direction are equivalent in the Besicovitch-Musielak-Orlicz space of almost periodic functions $(\widetilde{B}^{\varphi }a.p.)$ endowed with the Luxemburg norm.
References:
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