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Hermite-Hadamard inequalities and their applications. [PDF]

open access: yesJ Inequal Appl, 2018
New Hermite-Hadamard type inequalities are established. Some corresponding examples are also discussed in detail.
Mihai MV   +4 more
europepmc   +6 more sources

A Comprehensive Review of the Hermite–Hadamard Inequality Pertaining to Fractional Integral Operators

open access: yesMathematics, 2023
In the frame of fractional calculus, the term convexity is primarily utilized to address several challenges in both pure and applied research. The main focus and objective of this review paper is to present Hermite–Hadamard (H-H)-type inequalities ...
M. Tariq, S. Ntouyas, A. A. Shaikh
semanticscholar   +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

Some New Estimates of Hermite-Hadamard Inequality with Application

open access: yesAxioms, 2023
This paper establishes several new inequalities of Hermite–Hadamard type for |f′|q being convex for some fixed q∈(0,1]. As application, some error estimates on special means of real numbers are given.
Tao Zhang, Alatancang Chen
semanticscholar   +1 more source

The Hermite-Hadamard inequality for $ s $-Convex functions in the third sense

open access: yesAIMS Mathematics, 2021
In this paper, the Hermite-Hadamard inequality for $ s $-convex functions in the third sense is provided. In addition, some integral inequalities for them are presented.
Sevda Sezer
semanticscholar   +1 more source

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

open access: yesSymmetry, 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

open access: yesSymmetry, 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

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

open access: yesAIMS 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   +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

open access: yesAdvances 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

open access: yesMathematics, 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

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