On the k-convexity of the Besicovitch-Orlicz space of almost periodic functions with the Orlicz norm

• Autorzy: Fazia Bedouhene , Mohamed Morsli
• Języki publikacji: EN

Abstrakty

EN

Boulahia and the present authors introduced the Orlicz norm in the class $B^{ϕ}$-a.p. of Besicovitch-Orlicz almost periodic functions and gave several formulas for it; they also characterized the reflexivity of this space [Comment. Math. Univ. Carolin. 43 (2002)]. In the present paper, we consider the problem of k-convexity of $B^{ϕ}$-a.p. with respect to the Orlicz norm; we give necessary and sufficient conditions in terms of strict convexity and reflexivity.

Kategorie tematyczne

• 42A75: Classical almost periodic functions, mean periodic functions
• 46B20: Geometry and structure of normed linear spaces

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2007
• Tom: 109
• Numer: 1
• Strony: 107-118

Daty

wydano

2007

Twórcy

autor

Fazia Bedouhene

• Department of Mathematics, Faculty of Sciences, University of Tizi-Ouzou, Algeria

autor

Mohamed Morsli

• Department of Mathematics, Faculty of Sciences, University of Tizi-Ouzou, Algeria

Identyfikatory

DOI

10.4064/cm109-1-9