Hermite-Hadamard-Fejér Inequality Related to Generalized Convex Functions via Fractional Integrals

M. Rostamian Delavar, S. Mohammadi Aslani and M. De La Sen

Journal of Mathematics, 2018, vol. 2018, 1-10

Abstract:

This paper deals with Hermite-Hadamard-Fejér inequality for -convex functions via fractional integrals. Some mid-point and trapezoid type inequalities related to Hermite-Hadamard inequality when the absolute value of derivative of considered function is -convex functions are obtained. Furthermore, a refinement for classic Hermite-Hadamard inequality via fractional integrals is given when a positive -convex function is increasing.

Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:5864091

DOI: 10.1155/2018/5864091

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