In this paper, the conditions are considered that a weighted Orlicz space, L^Φ_w(G), is a Banach algebra with convolution as  multiplication in context of a locally compact σ-compact groups. We also for a class of Orlicz spaces, obtain an equivalent condition, such that a weighted Orlicz space to be a convolution Banach algebra. This resultes generalized some known results in Lebesgue spaces.

Keywords: locally compact group, σ-compact group, convolution algebra, weighted Orlicz space, Orlicz spaces

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