Summary.
The purpose of this paper is to distinguish, as much as possible, the concept of s-convexity from the concept of convexity and the concept of s-convexity in the first sense from the concept of s-convexity in the second sense. In this respect, the present work further develops a previous study by Hudzik and Maligranda (1994, [1]).
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Manuscript received: June 14, 2005 and, in final form, August 18, 2006.