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Z. Dahmani, New inequalities in fractional integrals, Int, J. Nonlinear Sci., 9 (2010), no. 4, 155-160.

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Article

Hermite-Hadamard Type Inequalities for (m, h1, h2)-Convex Functions Via Riemann-Liouville Fractional Integrals

1College of Mathematics, Inner Mongolia University for Nationalities, Tongliao City, China

2Department of Mathematics, College of Science, Tianjin Polytechnic University, Tianjin City, China;Institute of Mathematics, Henan Polytechnic University, Jiaozuo City, Henan Province, China


Turkish Journal of Analysis and Number Theory. 2014, Vol. 2 No. 1, 23-28
DOI: 10.12691/tjant-2-1-6
Copyright © 2014 Science and Education Publishing

Cite this paper:
De-Ping Shi, Bo-Yan Xi, Feng Qi. Hermite-Hadamard Type Inequalities for (m, h1, h2)-Convex Functions Via Riemann-Liouville Fractional Integrals. Turkish Journal of Analysis and Number Theory. 2014; 2(1):23-28. doi: 10.12691/tjant-2-1-6.

Correspondence to: Bo-Yan  Xi, College of Mathematics, Inner Mongolia University for Nationalities, Tongliao City, China. Email: baoyintu78@qq.com

Abstract

In the paper, via Riemann-Liouville fractional integration, the authors present some new inequalities of Hermite-Hadamard type for functions whose derivatives in absolute value are (m, h1, h2)-convex.

Keywords