Results 71 to 80 of about 7,920 (230)

Jensen-Mercer variant of Hermite-Hadamard type inequalities via Atangana-Baleanu fractional operator

AIMS Mathematics, 2021
We present new Mercer variants of Hermite-Hadamard (HH) type inequalities via Atangana-Baleanu (AB) fractional integral operators pertaining non-local and non-singular kernels.
Jia-bao Liu, S. Butt, Jamshed Nasir, A. Aslam, A. Fahad, Jarunee Soontharanon   +5 more
semanticscholar   +1 more source

Hermite-Hadamard and Hermite-Hadamard-Fejer type inequalities involving fractional integral operators

Filomat, 2019
Since the so-called Hermite-Hadamard type inequalities for convex functions were presented, their generalizations, refinements, and variants involving various integral operators have been extensively investigated. Here we aim to establish several Hermite-Hadamard inequalities and Hermite- Hadamard-Fejer type inequalities for symmetrized ...
Set, Erhan, Akdemir, Ahmet Ocak, Alan, Emrullah Aykan   +2 more
openaire   +4 more sources

Hermite–Hadamard type inequalities via weighted integral operators

Proyecciones (Antofagasta), 2023
In this paper, we consider general convex functions of various type. We establish some new integral inequalities of Hermite--Hadamard type for $(h,s,m)$-convex and $(h,m)$-convex functions, using generalized integrals. We also investigate differentiable functions with general convex derivative.
Kórus, Péter, Valdés, Juan E. Nápoles, Cubillos, María N. Quevedo   +2 more
openaire   +2 more sources

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

Journal 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, Pshtiwan Othman Mohammed, Jen-Chih Yao, Yong-Hong Yao   +3 more
doaj   +1 more source

Hermite-Hadamard like inequalities for fractional integral operator via convexity and quasi-convexity with their applications

AIMS Mathematics, 2022
Since the supposed Hermite-Hadamard inequality for a convex function was discussed, its expansions, refinements, and variations, which are called Hermite-Hadamard type inequalities, have been widely explored.
Jamshed Nasir, Shahid Qaisar , Saad Ihsan Butt , Hassen Aydi, Manuel De la Sen   +4 more
doaj   +1 more source

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

, 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, Alsaedi, Ahmed, Kirane, Mokhtar, Torebek, Berikbol T.   +3 more
core   +1 more source

On n-polynomial p-convex functions and some related inequalities

Advances in Difference Equations, 2020
In this paper, we introduce a new class of convex functions, so-called n-polynomial p-convex functions. We discuss some algebraic properties and present Hermite–Hadamard type inequalities for this generalization.
Choonkil Park, Yu-Ming Chu, Muhammad Shoaib Saleem, Nazia Jahangir, Nasir Rehman   +4 more
doaj   +1 more source

Weighted Midpoint Hermite-Hadamard-Fejér Type Inequalities in Fractional Calculus for Harmonically Convex Functions

Fractal and Fractional, 2021
In this paper, we establish a new version of Hermite-Hadamard-Fejér type inequality for harmonically convex functions in the form of weighted fractional integral. Secondly, an integral identity and some weighted midpoint fractional Hermite-Hadamard-Fejér
Humaira Kalsoom, Miguel Vivas-Cortez, Muhammad Amer Latif, Hijaz Ahmad   +3 more
doaj   +1 more source

On Katugampola Fractional Multiplicative Hermite-Hadamard-Type Inequalities

Mathematics
This paper presents a novel framework for Katugampola fractional multiplicative integrals, advancing recent breakthroughs in fractional calculus through a synergistic integration of multiplicative analysis. Motivated by the growing interest in fractional
Wedad Saleh, B. Meftah, M. Awan, Abdelghani Lakhdari   +3 more
semanticscholar   +1 more source

Riemann-Liouville Fractional Inclusions for Convex Functions Using Interval Valued Setting

Mathematics, 2022
In this work, various fractional convex inequalities of the Hermite–Hadamard type in the interval analysis setting have been established, and new inequalities have been derived thereon.
Vuk Stojiljković, Rajagopalan Ramaswamy, Ola A. Ashour Abdelnaby, Stojan Radenović   +3 more
doaj   +1 more source