Next Article in Journal
Gentle Slow Start to Alleviate TCP Incast in Data Center Networks
Next Article in Special Issue
Laplace Adomian Decomposition Method for Multi Dimensional Time Fractional Model of Navier-Stokes Equation
Previous Article in Journal
Analytic Loss Minimization: Theoretical Framework of a Second Order Optimization Method
Previous Article in Special Issue
Positive Solutions of a Fractional Thermostat Model with a Parameter
Article Menu
Issue 2 (February) cover image

Export Article

Open AccessArticle
Symmetry 2019, 11(2), 137; https://doi.org/10.3390/sym11020137

On Some Fractional Integral Inequalities of Hermite-Hadamard’s Type through Convexity

1
Department of Mathematics, COMSATS University Islamabad, Sahiwal Campus, Sahiwal 57000, Pakistan
2
Department of Mathematics, COMSATS University Islamabad, Lahore Campus, Lahore 54000, Pakistan
3
Department of Mathematics, College of Science, Qassim University, P.O. Box 6644, Buraydah 51482, Saudi Arabia
*
Author to whom correspondence should be addressed.
Received: 7 January 2019 / Revised: 20 January 2019 / Accepted: 22 January 2019 / Published: 26 January 2019
(This article belongs to the Special Issue Fractional Differential Equations: Theory, Methods and Applications)
Full-Text   |   PDF [265 KB, uploaded 30 January 2019]

Abstract

In this paper, we incorporate the notion of convex function and establish new integral inequalities of type Hermite–Hadamard via Riemann—Liouville fractional integrals. It is worth mentioning that the obtained inequalities generalize Hermite–Hadamard type inequalities presented by Özdemir, M.E. et. al. (2013) and Sarikaya, M.Z. et. al. (2011). View Full-Text
Keywords: Hermite–Hadamard’s Inequality; Convex Functions; Power-mean Inequality; Jenson Integral Inequality; Riemann—Liouville Fractional Integration Hermite–Hadamard’s Inequality; Convex Functions; Power-mean Inequality; Jenson Integral Inequality; Riemann—Liouville Fractional Integration
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).
SciFeed

Share & Cite This Article

MDPI and ACS Style

Qaisar, S.; Nasir, J.; Butt, S.I.; Hussain, S. On Some Fractional Integral Inequalities of Hermite-Hadamard’s Type through Convexity. Symmetry 2019, 11, 137.

Show more citation formats Show less citations formats

Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Related Articles

Article Metrics

Article Access Statistics

1

Comments

[Return to top]
Symmetry EISSN 2073-8994 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert
Back to Top