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

Fazia Bedouhene, and Mohamed Morsli. "On the k-convexity of the Besicovitch-Orlicz space of almost periodic functions with the Orlicz norm." Colloquium Mathematicae 109.1 (2007): 107-118. <http://eudml.org/doc/284001>.

@article{FaziaBedouhene2007,
abstract = {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.},
author = {Fazia Bedouhene, Mohamed Morsli},
journal = {Colloquium Mathematicae},
keywords = {-convexity; Besicovitch-Orlicz spaces; almost periodic functions},
language = {eng},
number = {1},
pages = {107-118},
title = {On the k-convexity of the Besicovitch-Orlicz space of almost periodic functions with the Orlicz norm},
url = {http://eudml.org/doc/284001},
volume = {109},
year = {2007},
}

TY - JOUR
AU - Fazia Bedouhene
AU - Mohamed Morsli
TI - On the k-convexity of the Besicovitch-Orlicz space of almost periodic functions with the Orlicz norm
JO - Colloquium Mathematicae
PY - 2007
VL - 109
IS - 1
SP - 107
EP - 118
AB - 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.
LA - eng
KW - -convexity; Besicovitch-Orlicz spaces; almost periodic functions
UR - http://eudml.org/doc/284001
ER -