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Converse Ohlin’s lemma for convex and strongly convex functions
Journal of Applied Analysis, 2022Abstract Theorems which are converse to the Ohlin lemma for convex and strongly convex functions are proved. New proofs of probabilistic characterizations of convex and strongly convex functions are presented.
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Strongly E-convex sets and strongly E-convex functions
Journal of Interdisciplinary Mathematics, 2005Abstract A class of E-convex sets and a class of E-convex functions are extended to the so called strongly E-convex sets and strongly E-convex functions. In this extension we take into account the images of two points x and y under an E : Rn → Rn operator besides the two points themselves.
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