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Refinements of Jensen’s inequality by uniformly convex functions

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Abstract

In this paper we deal with functions related to generalized convexity and refine Jensen type inequalities satisfied by such functions. Specifically, we extend inequalities satisfied by uniformly convex functions, strongly convex functions as well as superquadratic functions.

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  1. Department of Mathematics, University of Haifa, Haifa, Israel

    Shoshana Abramovich

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  1. Shoshana Abramovich
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Correspondence to Shoshana Abramovich.

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Abramovich, S. Refinements of Jensen’s inequality by uniformly convex functions. Aequat. Math. 97, 75–88 (2023). https://doi.org/10.1007/s00010-022-00922-1

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  • DOI: https://doi.org/10.1007/s00010-022-00922-1

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