Some new inequalities of Hermite–Hadamard type for n-time differentiable functions which are m-convex

Shu-Hong Wang; Bo-Yan Xi; Feng Qi

doi:10.1524/anly.2012.1167

Published by Oldenbourg Wissenschaftsverlag August 28, 2012

Some new inequalities of Hermite–Hadamard type for n-time differentiable functions which are m-convex

Shu-Hong Wang , Bo-Yan Xi and Feng Qi

From the journal Analysis

https://doi.org/10.1524/anly.2012.1167

Showing a limited preview of this publication:

Abstract

In the paper, by setting up an integral identity and using Hölder integral inequality, the authors establish some new inequalities of Hermite–Hadamard type for n-time differentiable and m-convex functions and discuss applications of these inequalities to special means.

Keywords: m-convex function; mean; Hermite-Hadamard integral inequality; integral identity; differentiable function

^* Correspondence address: Tianjin Polytechnic University, Department of Mathematics, School of Science, 300387 Tianjin City, Volksrepublik China, qifeng618@gmail.com; qifeng618@hotmail.com

Published Online: 2012-08-28

Published in Print: 2012-08

Some new inequalities of Hermite–Hadamard type for n-time differentiable functions which are m-convex

Abstract

Journal and Issue

Articles in the same Issue