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2012/2013 An Extension of the Hermite-Hadamard Inequality for Convex Symmetrized Functions
Maamar Benbachir, Meriem Dahmane, Abdallah El Farissi
Real Anal. Exchange 38(2): 467-474 (2012/2013).

Abstract

In this work, we extend the Hermite-Hadamard inequality to a new class of functions which do not satisfy the convex property. This result will be applied to both Haber and Fejér inequalities.

Citation

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Maamar Benbachir. Meriem Dahmane. Abdallah El Farissi. "An Extension of the Hermite-Hadamard Inequality for Convex Symmetrized Functions." Real Anal. Exchange 38 (2) 467 - 474, 2012/2013.

Information

Published: 2012/2013
First available in Project Euclid: 27 June 2014

zbMATH: 1301.26007
MathSciNet: MR3261890

Subjects:
Primary: 52A40 , 52A41

Keywords: convex function , Fejer inequality , Haber inequality , Hermite-Hadamard integral inequality

Rights: Copyright © 2012 Michigan State University Press

Vol.38 • No. 2 • 2012/2013
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