Results 21 to 30 of about 47,370 (280)

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

Fractal 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

Some Hermite-Hadamard type inequalities for harmonically s-convex functions. [PDF]

ScientificWorldJournal, 2014
Chen F, Wu S.
europepmc   +3 more sources

Hermite-Hadamard inequality involving Caputo-Fabrizio fractional integrals and related inequalities via $ s $-convex functions in the second sense

AIMS Mathematics, 2022
In this paper, firstly, Hermite-Hadamard inequality via s-convex functions in the second sense using Caputo-Fabrizio fractional integral operator is established. We also compare our results with the existing ones.
A. Abbasi, M. Anwar
semanticscholar   +1 more source

New Estimates for Hermite-Hadamard Inequality in Quantum Calculus via (α, m) Convexity

Symmetry, 2022
This study provokes the existence of quantum Hermite-Hadamard inequalities under the concept of q-integral. We analyse and illustrate a new identity for the differentiable function mappings whose second derivatives in absolute value are (α,m) convex ...
Peng Xu, S. Butt, Qurat Ul Ain, H. Budak
semanticscholar   +1 more source

A Review of Hermite-Hadamard Inequality for α-Type Real-Valued Convex Functions

Symmetry, 2022
Inequalities play important roles not only in mathematics but also in other fields, such as economics and engineering. Even though many results are published as Hermite–Hadamard (H-H)-type inequalities, new researchers to these fields often find it ...
O. Almutairi, Adem Kılıçman
semanticscholar   +1 more source

On the Hermite-Hadamard type inequalities [PDF]

Journal of Inequalities and Applications, 2013
In the present paper, we establish some new Hermite-Hadamard type inequalities involving two functions. Our results in a special case yield recent results on Hermite-Hadamard type inequalities.
Chang-Jian Zhao, Xiao-Yan Li, Wing-Sum Cheung   +2 more
openaire   +4 more sources

Conformable integral version of Hermite-Hadamard-Fejér inequalities via η-convex functions

AIMS Mathematics, 2020
The purpose of the article is to use symmetric η-convex functions to develop Hermite-Hadamard-Fejér inequality for conformable integral. We establish several conformable integral versions of Hermite-Hadamard-Fejér type inequality for the η-convex ...
Yousaf Khurshid, Muhammad Adil Khan, Yu-Ming Chu   +2 more
doaj   +1 more source

Hermite–Hadamard-type inequalities for geometrically r-convex functions in terms of Stolarsky’s mean with applications to means

Advances in Difference Equations, 2021
In this paper, we obtain new Hermite–Hadamard-type inequalities for r-convex and geometrically convex functions and, additionally, some new Hermite–Hadamard-type inequalities by using the Hölder–İşcan integral inequality and an improved power-mean ...
Muhammad Amer Latif
doaj   +1 more source

Hermite–Hadamard-Type Inequalities and Two-Point Quadrature Formula

Mathematics, 2022
As convexity plays an important role in many aspects of mathematical programming, e.g., for obtaining sufficient optimality conditions and in duality theorems, and one of the most important inequalities for convex functions is the Hermite–Hadamard ...
Josipa Barić
doaj   +1 more source

A New Version of the Hermite-Hadamard Inequality for Riemann-Liouville Fractional Integrals

Symmetry, 2020
Integral inequalities play a critical role in both theoretical and applied mathematics fields. It is clear that inequalities aim to develop different mathematical methods.
P. Mohammed, I. Brevik
semanticscholar   +1 more source