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Licensed Unlicensed Requires Authentication Published by De Gruyter (O) August 28, 2012

Generalizations of Hermite–Hadamard inequality to n-time differentiable functions which are s-convex in the second sense

  • Wei-Dong Jiang , Da-Wei Niu , Yun Hua and Feng Qi
From the journal Analysis
https://doi.org/10.1524/anly.2012.1161

Abstract

In the paper, the famous Hermite–Hadamard integral inequality for convex functions is generalized to and refined as the ones for n-time differentiable functions which are s-convex in the second sense, and some known results are improved.

Keywords: Hermite-Hadamard; integral inequality; differentiable function; convex function; s-convex function in the second sense
* Correspondence address: Tianjin Polytechnic University, Department of Mathematics, School of Science, 300387 Tianjin City, Volksrepublik China,
Published Online: 2012-08-28
Published in Print: 2012-08

© by Oldenbourg Wissenschaftsverlag, München, Germany

From the journal
Analysis
Analysis
Volume 32 Issue 3
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Discrete linear differential equations
On a new I-convergent sequence space
Generalizations of Hermite–Hadamard inequality to n-time differentiable functions which are s-convex in the second sense
Properties of the Hankel–Hausdorff operator on Hardy space H1(0,∞)
Asymptotics of a sequence of sparse binomial-type polynomials
Some new inequalities of Hermite–Hadamard type for n-time differentiable functions which are m-convex
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