Results 31 to 40 of about 2,360 (226)

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

Journal 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, Muhammad Adil Khan, Yu-Ming Chu, Zareen Abdulhameed Khan   +3 more
doaj   +1 more source

On the Hermite-Hadamard type inequalities [PDF]

Journal of Inequalities and Applications, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhao, Chang-Jian, Cheung, Wing-Sum, Li, Xiao-Yan   +2 more
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A Note on Characterization of h-Convex Functions via Hermite-Hadamard Type Inequality

Проблемы 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, Dragomir S. S., De La Sen M.   +2 more
doaj   +1 more source

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

AIP 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, Muhammad Adil Khan, Sana Ullah, Yu Ming Chu, Artion Kashuri   +4 more
doaj   +1 more source

A generalization of Hermite-Hadamard’s inequality [PDF]

Kragujevac Journal of Mathematics, 2017
In literature the Hermite-Hadamard inequality was eligible for many reasons, one of the most surprising and interesting that the Hermite-Hadamard inequality combine the midpoint and trapezoid formulae in an inequality. In this work, a Hermite-Hadamard like inequality that combines the composite trapezoid and composite midpoint formulae is proved.
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Caputo Fractional Derivative Hadamard Inequalities for Strongly m-Convex Functions

Journal of Function Spaces, 2021
In this paper, two versions of the Hadamard inequality are obtained by using Caputo fractional derivatives and strongly m-convex functions. The established results will provide refinements of well-known Caputo fractional derivative Hadamard inequalities ...
Xue Feng, Baolin Feng, Ghulam Farid, Sidra Bibi, Qi Xiaoyan, Ze Wu   +5 more
doaj   +1 more source

Matrix inequalities and majorizations around Hermite–Hadamard’s inequality [PDF]

Canadian Mathematical Bulletin, 2022
AbstractWe study the classical Hermite–Hadamard inequality in the matrix setting. This leads to a number of interesting matrix inequalities such as the Schatten p-norm estimates $$ \begin{align*}\left(\|A^q\|_p^p + \|B^q\|_p^p\right)^{1/p} \le \|(xA+(1-x)B)^q\|_p+ \|((1-x)A+xB)^q\|_p, \end{align*} $$ for all positive (semidefinite) $n\times n ...
Bourin, Jean-Christophe, Lee, Eun-Young
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Stolarsky Means and Hadamard's Inequality

Journal of Mathematical Analysis and Applications, 1998
A generalization is given of the extension of Hadamrd's inequality to r-convex functions. A corresponding generalization of the Fink-Mond-Pečarić inequalities for r-convex functions in established.
Pearce, Charles E. M., Pecaric, Josip, Sjmic, V.   +2 more
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Hermite–Hadamard type inequalities for fractional integrals via Green’s function

Journal of Inequalities and Applications, 2018
In the article, we establish the left Riemann–Liouville fractional Hermite–Hadamard type inequalities and the generalized Hermite–Hadamard type inequalities by using Green’s function and Jensen’s inequality, and present several new Hermite–Hadamard type ...
Muhammad Adil Khan, Arshad Iqbal, Muhammad Suleman, Yu-Ming Chu   +3 more
doaj   +1 more source

Hadamard’s inequality in the mean

Nonlinear Analysis
Let $Q$ be a Lipschitz domain in $\mathbb{R}^n$ and let $f \in L^{\infty}(Q)$. We investigate conditions under which the functional $$I_n(φ)=\int_Q |\nabla φ|^n+ f(x)\,\mathrm{det} \nabla φ\, \mathrm{d}x $$ obeys $I_n \geq 0$ for all $φ\in W_0^{1,n}(Q,\mathbb{R}^n)$, an inequality that we refer to as Hadamard-in-the-mean, or (HIM).
Bevan, Jonathan, Valdman, Jan, Kružìk, Martin   +2 more
openaire   +4 more sources