Remarks on strongly convex functions |
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| Authors: | Nelson Merentes Kazimierz Nikodem |
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| Institution: | 1. Escuela de Matem??ticas, Universidad Central de Venezuela, Caracas, Venezuela
2. Department of Mathematics and Computer Science, University of Bielsko-Bia?a, ul. Willowa 2, 43-309, Bielsko-Bia?a, Poland
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| Abstract: | Some properties of strongly convex functions are presented. A characterization of pairs of functions that can be separated by a strongly convex function and a Hyers?CUlam stability result for strongly convex functions are given. An integral Jensen-type inequality and a Hermite?CHadamard-type inequality for strongly convex functions are obtained. Finally, a relationship between strong convexity and generalized convexity in the sense of Beckenbach is shown. |
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