Results 51 to 60 of about 7,964 (239)

Hermite-Hadamard-Fejér Inequalities for Conformable Fractional Integrals via Preinvex Functions

open access: yesJournal of Function Spaces, 2019
In this paper, we present a Hermite-Hadamard-Fejér inequality for conformable fractional integrals by using symmetric preinvex functions. We also establish an identity associated with the right hand side of Hermite-Hadamard inequality for preinvex ...
Yousaf Khurshid   +3 more
doaj   +1 more source

Jensen–Mercer and Hermite–Hadamard–Mercer Type Inequalities for GA-h-Convex Functions and Its Subclasses with Applications

open access: yesMathematics, 2023
Many researchers have been attracted to the study of convex analysis theory due to both facts, theoretical significance, and the applications in optimization, economics, and other fields, which has led to numerous improvements and extensions of the ...
Asfand Fahad   +3 more
doaj   +1 more source

A Note on Characterization of h-Convex Functions via Hermite-Hadamard Type Inequality

open access: yesПроблемы анализа, 2019
A characterization of h-convex function via Hermite-Hadamard inequality related to the h-convex functions is investigated. In fact it is determined that under what conditions a function is h-convex, if it satisfies the h-convex version of Hermite ...
Delavar M. Rostamian   +2 more
doaj   +1 more source

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

open access: yesAIMS 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   +4 more
doaj   +1 more source

A dimension-free Hermite–Hadamard inequality via gradient estimates for the torsion function [PDF]

open access: yesProceedings of the American Mathematical Society, 2019
Let $\Omega \subset \mathbb{R}^n$ be a convex domain and let $f:\Omega \rightarrow \mathbb{R}$ be a subharmonic function, $\Delta f \geq 0$, which satisfies $f \geq 0$ on the boundary $\partial \Omega$. Then $$ \int_{\Omega}{f ~dx} \leq |\Omega|^{\frac{1}
Jianfeng Lu, S. Steinerberger
semanticscholar   +1 more source

An extension of the Hermite–Hadamard inequality for convex and s-convex functions

open access: yesAequationes Mathematicae, 2019
The Hermite–Hadamard inequality was extended using iterated integrals by Retkes [Acta Sci Math (Szeged) 74:95–106, 2008]. In this paper we further extend the main results of the above paper for convex and also for s-convex functions in the second sense.
P. Kórus
semanticscholar   +1 more source

Hermite-Hadamard type inequalities pertaining conformable fractional integrals and their applications

open access: yesAIP Advances, 2018
In this paper, our main aim is to give results for conformable fractional integral version of Hermite-Hadamard inequality and their applications for mid-point formula and means.
Arshad Iqbal   +4 more
doaj   +1 more source

Hermite-Hadamard Type Inequalities with Applications

open access: yesFasciculi Mathematici, 2017
AbstractIn this article first, we give an integral identity and prove some Hermite-Hadamard type inequalities for the function f such that |f″|qis convex or concave for q ≥ 1. Second, by using these results, we present applications to f-divergence measures.
Khan, M. Adil   +2 more
openaire   +2 more sources

Some Fejér-Type Inequalities for Generalized Interval-Valued Convex Functions

open access: yesMathematics, 2022
The goal of this study is to create new variations of the well-known Hermite–Hadamard inequality (HH-inequality) for preinvex interval-valued functions (preinvex I-V-Fs). We develop several additional inequalities for the class of functions whose product
Muhammad Bilal Khan   +3 more
doaj   +1 more source

Some Further Results Using Green’s Function for s-Convexity

open access: yesJournal of Mathematics, 2023
For s-convex functions, the Hermite–Hadamard inequality is already well-known in convex analysis. In this regard, this work presents new inequalities associated with the left-hand side of the Hermite–Hadamard inequality for s-convexity by utilizing a ...
Çetin Yildiz   +3 more
doaj   +1 more source

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