The Hermite Hadamard Inequality on Hypercuboid

Authors

DOI:

https://doi.org/10.24297/jam.v16i0.8053

Keywords:

Convex function, Hermite--Hadamard's inequality, Jensen's inequality

Abstract

Given any a := (a1; a2,... ; an) and b := (b1; b2;... ; bn) in Rn. The n-fold convex function dened on [a; b], a; b 2 Rn with a < b is a convex function in each variable separately. In this work we prove an inequality of Hermite-Hadamard type for n-fold convex functions. Namely, we establish the inequality

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Author Biography

Mohammad W Alomari, Irbid National University

 Department of Mathematics, Faculty of Science and Information Technology, Irbid National University, 2600 Irbid 21110, Jordan 

Published

2019-01-31

How to Cite

Alomari, M. W. (2019). The Hermite Hadamard Inequality on Hypercuboid. JOURNAL OF ADVANCES IN MATHEMATICS, 16, 8234-8246. https://doi.org/10.24297/jam.v16i0.8053

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Articles