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Hermite–Hadamard type inequalities for fractional integrals via Green’s function [PDF]

open access: yesJournal of Inequalities and Applications, 2018
In the article, we establish the left Riemann–Liouville fractional Hermite–Hadamard type inequalities and the generalized Hermite–Hadamard type inequalities by using Green’s function and Jensen’s inequality, and present several new Hermite–Hadamard type ...
Muhammad Adil Khan   +3 more
doaj   +2 more sources

Hermite-Hadamard type inequalities for p-convex functions via fractional integrals [PDF]

open access: diamondMoroccan Journal of Pure and Applied Analysis, 2017
In this paper, we present Hermite-Hadamard inequality for p-convex functions in fractional integral forms. we obtain an integral equality and some Hermite-Hadamard type integral inequalities for p-convex functions in fractional integral forms.
Kunt Mehmet, İşcan İmdat
doaj   +2 more sources

Some Hermite-Hadamard Type Inequalities for Harmonically s-Convex Functions [PDF]

open access: yesThe Scientific World Journal, 2014
We establish some estimates of the right-hand side of Hermite-Hadamard type inequalities for functions whose derivatives absolute values are harmonically s-convex.
Feixiang Chen, Shanhe Wu
doaj   +2 more sources

Double integral inequalities of Hermite-Hadamard type for h-convex functions on linear spaces [PDF]

open access: green, 2016
Some double integral inequalities of Hermite–Hadamard type for h-convex functions defined on convex subsets in real or complex linear spaces are given. Applications for norm inequalities are provided as well.
Dragomir, Sever S
core   +3 more sources

Hermite–Hadamard type inequalities for F-convex function involving fractional integrals [PDF]

open access: yesJournal of Inequalities and Applications, 2018
In this study, the family F and F-convex function are given with its properties. In view of this, we establish some new inequalities of Hermite–Hadamard type for differentiable function.
Pshtiwan Othman Mohammed   +1 more
doaj   +2 more sources

Inequalities for α-fractional differentiable functions. [PDF]

open access: yesJ Inequal Appl, 2017
In this article, we present an identity and several Hermite-Hadamard type inequalities for conformable fractional integrals. As applications, we establish some inequalities for certain special means of two positive real numbers and give the error ...
Chu YM   +3 more
europepmc   +5 more sources

Hermite–Hadamard–Mercer-Type Inequalities for Harmonically Convex Mappings

open access: yesMathematics, 2021
In this paper, we prove Hermite–Hadamard–Mercer inequalities, which is a new version of the Hermite–Hadamard inequalities for harmonically convex functions.
Xuexiao You   +4 more
doaj   +1 more source

fixed point, ψ-contraction, r-hybrid ψ-contraction, dynamic programming, integral equation

open access: yesAIMS Mathematics, 2021
In this work, we establish inequalities of Hermite-Hadamard-Mercer (HHM) type for convex functions by using generalized fractional integrals. The results of our paper are the extensions and refinements of Hermite-Hadamard (HH) and Hermite-Hadamard-Mercer
Miguel Vivas-Cortez   +3 more
doaj   +1 more source

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