On some fractional integral inequalities of Hermite-Hadamard's type through convexity
type: Item
instance of: scholarly article
title: On some fractional integral inequalities of Hermite-Hadamard's type through convexity
zbMATH Open document ID: 1416.26039
author: Shahid Qaisar
author: Jamshed Nasir
author: S. I. Butt
author: S. Hussain
published in: Symmetry
publication date: 2019-07-10T00:00:00Z
review text: Summary: 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 \textit{M. E. Özdemir} et al. [J. Inequal. Appl. 2013, Paper No. 333, 11 p. (2013; Zbl 1285.26021)] and \textit{M. Z. Sarikaya} and \textit{N. Aktan} [Math. Comput. Modelling 54, No. 9--10, 2175--2182 (2011; Zbl 1235.26015)].
Mathematics Subject Classification ID: 26D10
Mathematics Subject Classification ID: 26A33
Mathematics Subject Classification ID: 26A51
zbMATH DE Number: 7078105
zbMATH Keywords: Hermite-Hadamard inequality
zbMATH Keywords: convex functions
zbMATH Keywords: power-mean inequality
zbMATH Keywords: Jenson integral inequality
zbMATH Keywords: Riemann-Liouville fractional integration
MaRDI profile type: Publication
full work available at URL: sym11020137
OpenAlex ID: W2911901069
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DOI: 10.3390/SYM11020137
description: scientific article; zbMATH DE number 7078105