Generalized Hermite--Hadamard's inequality for functions convex on the coordinates

2017/12/21 by Eze R. Nwaeze, Nwaeze, Eze R.
Mathematics · #Mathematical Inequalities and Applications #Mathematical functions and polynomials #Functional Equations Stability Results

paper · pdf · doi:10.48550/arxiv.1712.10331

Abstract

The aim of this paper is to generalize the Hermite--Hadamard inequality for functions convex on the coordinates. Our composite result generalizes the result of Dragomir in \citeDrag. Many other interesting inequalities can be derived from our results by choosing different values of n∈ℕ. Furthermore, we add to the literature a new result for positive functions convex on the coordinates.

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