A Refinement of Jensen's Inequality via Superquadratic Functions

Anton, Asare-Tuah and Edward, Prempeh (2015) A Refinement of Jensen's Inequality via Superquadratic Functions. British Journal of Mathematics & Computer Science, 10 (1). pp. 1-8. ISSN 22310851

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Abstract

We establish the inequality

17068--1.pngwhere Capture-11.PNG 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.

Item Type: Article
Subjects: Eprint Open STM Press > Mathematical Science
Depositing User: Unnamed user with email admin@eprint.openstmpress.com
Date Deposited: 09 Jun 2023 13:10
Last Modified: 13 Jan 2024 04:39
URI: http://library.go4manusub.com/id/eprint/668

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