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

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

In this paper, we obtain a version of the Fejér–Hadamard inequality for harmonically convex functions via generalized fractional integral operator. In addition, we establish an integral identity and some Fejér–Hadamard type integral inequalities for harmonic...

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Bibliographic Details
Main Authors: Shin Min Kang, Ghulam Abbas, Ghulam Farid, Waqas Nazeer
Format: Article
Language:English
Published: MDPI AG 2018-07-01
Series:Mathematics
Subjects:
harmonically convex functions
Hermite–Hadamard inequality
generalized fractional integral operator
Mittag–Leffler function
Online Access:http://www.mdpi.com/2227-7390/6/7/122
Description
Summary:In this paper, we obtain a version of the Fejér–Hadamard inequality for harmonically convex functions via generalized fractional integral operator. In addition, we establish an integral identity and some Fejér–Hadamard type integral inequalities for harmonically convex functions via a generalized fractional integral operator. Being generalizations, our results reproduce some known results.
ISSN:2227-7390

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