Preprint Article Version 1 This version is not peer-reviewed

A Generalized Fejér-Hadamard Inequality for Harmonically Convex Functions via Generalized Fractional Integral Operator and Related Results

Version 1 : Received: 5 June 2018 / Approved: 6 June 2018 / Online: 6 June 2018 (12:06:15 CEST)

A peer-reviewed article of this Preprint also exists.

Kang, S.M.; Abbas, G.; Farid, G.; Nazeer, W. A Generalized Fejér–Hadamard Inequality for Harmonically Convex Functions via Generalized Fractional Integral Operator and Related Results. Mathematics 2018, 6, 122. Kang, S.M.; Abbas, G.; Farid, G.; Nazeer, W. A Generalized Fejér–Hadamard Inequality for Harmonically Convex Functions via Generalized Fractional Integral Operator and Related Results. Mathematics 2018, 6, 122.

Journal reference: Mathematics 2018, 6, 122
DOI: 10.3390/math6070122

Abstract

In the present research, we will develop some integral inequalities of Hermite Hadamard type for differentiable η-convex function. Moreover, our results include several new and known results as special cases.

Subject Areas

harmonically convex functions; hadamard inequality; generalized fractional integral operator; Mittag-Leffler function