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Open Access Research

On the Hermite-Hadamard type inequalities

Chang-Jian Zhao1*, Wing-Sum Cheung2 and Xiao-Yan Li3

Author Affiliations

1 Department of Mathematics, China Jiliang University, Hangzhou, 310018, P.R. China

2 Department of Mathematics, The University of Hong Kong, Pokfulam Road, Hong Kong, P.R. China

3 Department of Mathematics, Hunan Normal University, Changsha, 410000, P.R. China

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Journal of Inequalities and Applications 2013, 2013:228  doi:10.1186/1029-242X-2013-228

Published: 7 May 2013

Abstract

In the present paper, we establish some new Hermite-Hadamard type inequalities involving two functions. Our results in a special case yield recent results on Hermite-Hadamard type inequalities.

MSC: 26D15.

Keywords:
Hermite-Hadamard inequality; Barnes-Godunova-Levin inequality; Minkowski integral inequality; Hölder inequality