On the Hermite--Hadamard inequality for convex functions of two variables

Abstract

Inspired by the results in [S. S. Dragomir and I. Gomm, Num. Alg. Cont. & Opt., 2 (2012), 271-278], we give some new bounds for two mappings related to the Hermite-Hadamard inequality for convex functions of two variables, and apply them to special functions to get some results for the p-logarithmic mean. We also apply the Hermite-Hadamard inequality to matrix functions in this paper.

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