Midpoint inequalities in fractional calculus defined using positive weighted symmetry function kernels

PO Mohammed, H Aydi, A Kashuri, YS Hamed… - Symmetry, 2021 - mdpi.com
The aim of our study is to establish, for convex functions on an interval, a midpoint version of
the fractional HHF type inequality. The corresponding fractional integral has a symmetric …

Fractional Hermite–Hadamard–Fejer inequalities for a convex function with respect to an increasing function involving a positive weighted symmetric function

PO Mohammed, T Abdeljawad, A Kashuri - Symmetry, 2020 - mdpi.com
There have been many different definitions of fractional calculus presented in the literature,
especially in recent years. These definitions can be classified into groups with similar …

[PDF][PDF] Dynamical significance of generalized fractional integral inequalities via convexity

S Ali, S Mubeen, RS Ali, G Rahman, A Morsy… - AIMS Math, 2021 - researchgate.net
The main goal of this paper is to develop the significance of generalized fractional integral
inequalities via convex functions. We obtain the new version of fractional integral …

Hermite–Hadamard-Type Inequalities Involving Harmonically Convex Function via the Atangana–Baleanu Fractional Integral Operator

MA Latif, H Kalsoom, MZ Abidin - Symmetry, 2022 - mdpi.com
Fractional integrals and inequalities have recently become quite popular and have been the
prime consideration for many studies. The results of many different types of inequalities have …

Certain Novel Fractional Integral Inequalities via Fuzzy Interval Valued Functions

M Vivas-Cortez, RS Ali, H Saif, MB Jeelani… - Fractal and …, 2023 - mdpi.com
Fuzzy-interval valued functions (FIVFs) are the generalization of interval valued and real
valued functions, which have a great contribution to resolve the problems arising in the …

Generalized Hermite–Hadamard‐Type Integral Inequalities for h‐Godunova–Levin Functions

RS Ali, S Mubeen, S Ali, G Rahman… - Journal of Function …, 2022 - Wiley Online Library
The main objective of this article is to establish generalized fractional Hermite–Hadamard
and related type integral inequalities for h‐Godunova–Levin convexity and h‐Godunova …

Hermite-Hadamard-Fejér Type Inequalities with Generalized K-Fractional Conformable Integrals and Their Applications

H Kalsoom, ZA Khan - Mathematics, 2022 - mdpi.com
In this work, we introduce new definitions of left and right-sides generalized conformable K-
fractional derivatives and integrals. We also prove new identities associated with the left and …

[PDF][PDF] Refinements and applications of Hermite-Hadamard type inequalities for fractional integrals based on harmonic convexity

MA Latif - Punjab University Journal of Mathematics, 2024 - pu.edu.pk
Punjab University Journal of Mathematics (2024), 56(1-2), 51-69 https://doi.org/10.52280/pujm.2024.56(1-2)05
Refinements and app Page 1 Punjab University Journal of Mathematics (2024), 56(1-2), 51-69 …

[PDF][PDF] ON SOME NEW HERMITE-HADAMARD TYPE INEQUALITIES FOR FUNCTIONS WHOSE nTH DERIVATIVES ARE (mü 1; mü 2)-STRONGLY CONVEX

SK Yıldırım, H Yıldırım - Journal of Universal Mathematics, 2021 - dergipark.org.tr
Journal of Universal Mathematics ISSN-2618-5660 DOI: 10.33773/jum.945748 ON SOME NEW
HERMITE-HADAMARD TYPE INEQUALITIES FOR FUNC Page 1 Journal of Universal …

[PDF][PDF] Midpoint Inequalities in Fractional Calculus Defined Using Positive Weighted Symmetry Function Kernels. Symmetry 2021, 13, 550

PO Mohammed, H Aydi, A Kashuri, YS Hamed… - … and Fractional Calculus, 2021 - mdpi.com
The aim of our study is to establish, for convex functions on an interval, a midpoint version of
the fractional HHF type inequality. The corresponding fractional integral has a symmetric …