New Applications of Superquadracity

Shoshana Abramovich ()
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Shoshana Abramovich: University of Haifa, Department of Mathematics

A chapter in Analytic Number Theory, Approximation Theory, and Special Functions, 2014, pp 365-395 from Springer

Abstract: Abstract In the recent years numerous articles were published related to superquadracity. Here we put together some of these results, in particular those related to Jensen, Jensen–Steffensen, and Hardy’s inequalities. These inequalities are analogs of inequalities satisfied by convex functions and in those cases that the superquadratic functions are nonnegative we get refinements of inequalities satisfied by convex functions.

Keywords: Superquadratic Functions; Exponentially Convex; Hermite-Hadamard Type Inequalities; Jensen-Steffensen Inequality; Cauchy Type Mean (search for similar items in EconPapers)
Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4939-0258-3_13

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DOI: 10.1007/978-1-4939-0258-3_13

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