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Research Article Open access CC BY 4.0

A Refinement of Jensen's Inequality via Superquadratic Functions

Asare-Tuah Anton, Prempeh Edward

Journal of Advances in Mathematics and Computer Science · pp. 1–8 · Published 20 Jun 2015

10.9734/BJMCS/2015/17068

Abstract

We establish the inequality where  is superquadratic and prove a more general inequality where 1/2n and 2n -1/2n are replaced by a/2n and b/2n respectively, with a+b=2n ,n ∈ N, the latter is extended to the case where a+b ≠ 2n , n ∈  N.

Convex function Midconvex function Superquadratic function Jensen's inequality and Rened Jensen's inequality

Cited by 1

A Refinement of Jensen’s and Minkowski’s Inequalities via Superquadratic Functions

Anton Asare-Tuah, Edward Prempeh · International Journal of Mathematics and Mathematical Sciences · 2024

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