Results 21 to 30 of about 1,352,109 (152)

On local fractional integral inequalities via generalized (h˜1,h˜2)\left({\tilde{h}}_{1},{\tilde{h}}_{2})-preinvexity involving local fractional integral operators with Mittag-Leffler kernel

open access: yesDemonstratio Mathematica, 2023
Local fractional integral inequalities of Hermite-Hadamard type involving local fractional integral operators with Mittag-Leffler kernel have been previously studied for generalized convexities and preinvexities.
Vivas-Cortez Miguel   +3 more
doaj   +1 more source

Generalized Fractional Hadamard and Fejér–Hadamard Inequalities for Generalized Harmonically Convex Functions

open access: yesJournal of Mathematics, 2020
In this paper, we define a new function, namely, harmonically α,h−m-convex function, which unifies various kinds of harmonically convex functions.
Chahn Yong Jung   +4 more
doaj   +1 more source

Fejér–Hadamard Type Inequalities for (α, h-m)-p-Convex Functions via Extended Generalized Fractional Integrals

open access: yesFractal and Fractional, 2021
Integral operators of a fractional order containing the Mittag-Leffler function are important generalizations of classical Riemann–Liouville integrals. The inequalities that are extensively studied for fractional integral operators are the Hadamard type ...
Ghulam Farid   +2 more
doaj   +1 more source

On positive solutions of a system of equations generated by Hadamard fractional operators

open access: yesAdvances in Difference Equations, 2020
This paper is devoted to studying some systems of quadratic differential and integral equations with Hadamard-type fractional order integral operators.
Amira M. Abdalla   +2 more
doaj   +1 more source

Examining the Hermite–Hadamard Inequalities for k-Fractional Operators Using the Green Function

open access: yesFractal and Fractional, 2023
For k-Riemann–Liouville fractional integral operators, the Hermite–Hadamard inequality is already well-known in the literature. In this regard, this paper presents the Hermite–Hadamard inequalities for k-Riemann–Liouville fractional integral operators by
Çetin Yildiz, Luminiţa-Ioana Cotîrlă
doaj   +1 more source

ON REFINEMENTS of HERMITE–HADAMARD TYPE INEQUALITIES with GENERALIZED FRACTIONAL INTEGRAL OPERATORS [PDF]

open access: yes, 2021
In this paper we establish the refinements of Hermite-Hadamard type inequalities for generalized fractional integral operator through the instrument of convex functions. © 2021 Asian Journal of Dairy and Food Research.
Hüseyin Budak   +4 more
core   +1 more source

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

open access: yesMathematics, 2018
In this paper, we obtain a version of the Fejér–Hadamard inequality for harmonically convex functions via generalized fractional integral operator.
Shin Min Kang   +3 more
doaj   +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 p-convex functions via fractional integrals

open access: yesMoroccan 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   +1 more source

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

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