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C. P. Niculescu and L.-E. Persson, Convex Functions and their Applications, CMS Books in Mathematics, Springer-Verlag, 2005.

has been cited by the following article:

Article

Some Integral Inequalities of Hermite-Hadamard Type for Functions Whose n-times Derivatives are (α,m)-Convex

1Institute of Mathematics, Henan Polytechnic University, Jiaozuo City, Henan Province, China

2College of Science, Department of Mathematics, University of Hail, Hail, Saudi Arabia

3Department of Mathematics, College of Science, Tianjin Polytechnic University, Tianjin City, China

4Department of Mathematics, University of Engineering and Technology, Lahore, Pakistan


Turkish Journal of Analysis and Number Theory. 2014, Vol. 2 No. 4, 140-146
DOI: 10.12691/tjant-2-4-7
Copyright © 2014 Science and Education Publishing

Cite this paper:
Feng Qi, Muhammad Amer Latif, Wen-Hui Li, Sabir Hussain. Some Integral Inequalities of Hermite-Hadamard Type for Functions Whose n-times Derivatives are (α,m)-Convex. Turkish Journal of Analysis and Number Theory. 2014; 2(4):140-146. doi: 10.12691/tjant-2-4-7.

Correspondence to: Feng  Qi, Institute of Mathematics, Henan Polytechnic University, Jiaozuo City, Henan Province, China. Email: qifeng618@gmail.com,

Abstract

In the paper, the authors find some new integral inequalities of Hermite-Hadamard type for functions whose derivatives of the n-th order are (α,m)-convex and deduce some known results. As applications of the newly-established results, the authors also derive some inequalities involving special means of two positive real numbers.

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