Results 41 to 50 of about 6,804 (192)

Generalization of Hermite-Hadamard inequalities involving Hadamard fractional integrals

open access: yesFilomat, 2015
In this paper, we firstly give a general integral identity for once differentiable mapping involving Hadamard fractional integrals. Secondly, we use this integral identity to derive some new generalization of fractional Hermite-Hadamard inequalities through GA-convex functions via power means and integrals GG-convex functions via power ...
Zhi Zhang, Wei Wei, Jin Wang
openaire   +2 more sources

Some New Harmonically Convex Function Type Generalized Fractional Integral Inequalities

open access: yesFractal and Fractional, 2021
In this article, we established a new version of generalized fractional Hadamard and Fejér–Hadamard type integral inequalities. A fractional integral operator (FIO) with a non-singular function (multi-index Bessel function) as its kernel and monotone ...
Rana Safdar Ali   +6 more
doaj   +1 more source

Hadamard fractional integrals and derivatives with respect to functions

open access: yesC.Q.D. - Revista Eletrônica Paulista de Matemática, 2022
In this article, we study generalized fractional derivatives and integrals that contain kernels a generalized logarithm depending on a positive continuous function increasing. We generalize the Laplace transform in order to be applicable for the generalized fractional integrals and derivatives.
Ana Paula Perovano   +1 more
openaire   +2 more sources

Further on Inequalities for α,h−m-Convex Functions via k-Fractional Integral Operators

open access: yesJournal of Mathematics, 2022
The purpose of this article is to demonstrate new generalized k-fractional Hadamard and Fejér–Hadamard integral inequalities for α,h−m-convex functions.
Tao Yan   +3 more
doaj   +1 more source

Generalized Hermite-Hadamard type integral inequalities for fractional integrals

open access: yesFilomat, 2016
In this paper, we have established Hermite-Hadamard type inequalities for fractional integrals depending on a parameter.
Sarıkaya, Mehmet Zeki, Budak, Hüseyin
openaire   +4 more sources

On New Inequalities for h-convex Functions via Riemann-Liouville Fractional Integration

open access: yes, 2012
In this paper, some new inequalities of the Hermite-Hadamard type for h-convex functions via Riemann-Liouville fractional integral are ...
Tunc, Mevlut
core   +1 more source

Generalized fractional integral inequalities of Hermite–Hadamard type for (α,m) ${(\alpha,m)}$-convex functions

open access: yesJournal of Inequalities and Applications, 2019
In the paper, the authors establish some generalized fractional integral inequalities of the Hermite–Hadamard type for (α,m) $(\alpha,m)$-convex functions, show that one can find some Riemann–Liouville fractional integral inequalities and classical ...
Feng Qi   +3 more
doaj   +1 more source

Hermite–Hadamard type inequalities for conformable fractional integrals

open access: yesRevista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Adil Khan, M   +3 more
openaire   +2 more sources

On the Generalized Hermite–Hadamard Inequalities via the Tempered Fractional Integrals [PDF]

open access: yesSymmetry, 2020
Integral inequality plays a critical role in both theoretical and applied mathematics fields. It is clear that inequalities aim to develop different mathematical methods (numerically or analytically) and to dedicate the convergence and stability of the methods.
Pshtiwan Othman Mohammed   +2 more
openaire   +1 more source

Hermite-Hadamard, Hermite-Hadamard-Fejer, Dragomir-Agarwal and Pachpatte Type Inequalities for Convex Functions via Fractional Integrals

open access: yes, 2018
The aim of this paper is to establish Hermite-Hadamard, Hermite-Hadamard-Fej\'er, Dragomir-Agarwal and Pachpatte type inequalities for new fractional integral operators with exponential kernel.
Ahmad, Bashir   +3 more
core   +1 more source

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