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

De-Ping Shi¹, Bo-Yan Xi^1, and Feng Qi^{1, 2}

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

Cite this paper:
De-Ping Shi, Bo-Yan Xi and 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

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:
Riemann-Liouville fractional integral (m h1 h2)-convex function integral inequality of Hermite-Hadamard type

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