Results 11 to 20 of about 1,943 (219)

Hermite-Hadamard inequalities and their applications. [PDF]

J Inequal Appl, 2018
New Hermite-Hadamard type inequalities are established. Some corresponding examples are also discussed in detail.
Mihai MV, Awan MU, Noor MA, Kim JK, Noor KI.   +4 more
europepmc   +5 more sources

The converse of the Hermite–Hadamard inequality on simplices

Expositiones Mathematicae, 2012
We prove that the Hermite–Hadamard inequality on simplices characterizes convex functions under some assumptions on the ...
Mitroi-Symeonidis, Flavia-Corina, Symeonidis, Eleutherius, Mitroi, Flavia-Corina   +2 more
core   +2 more sources

On the Operator Hermite–Hadamard Inequality [PDF]

Complex Analysis and Operator Theory, 2021
The main target of this paper is to discuss operator Hermite--Hadamard inequality for convex functions, without appealing to operator convexity. Several forms of this inequality will be presented and some applications including norm and mean inequalities will be shown too.
Hamid Reza Moradi, Mohammad Sababheh, Shigeru Furuichi   +2 more
openaire   +2 more sources

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

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

Hermite-Hadamard-Fejér Inequalities for Preinvex Functions on Fractal Sets [PDF]

Sahand Communications in Mathematical Analysis, 2023
In this paper, for generalised preinvex functions, new estimates of the Fej\'{e}r-Hermite-Hadamard inequality on fractional sets $\mathbb{R}^{\rho }$ are given in this study.
Sikander Mehmood, Fiza Zafar
doaj   +1 more source

On the refinements of the Hermite-Hadamard inequality [PDF]

Journal of Inequalities and Applications, 2012
في هذه الورقة، نقدم بعض التحسينات على متباينة هيرميت- هادامارد الكلاسيكية المتكاملة للوظائف المحدبة. علاوة على ذلك، نعطي مفهوم التحدب الأسي n والتحدب اللوغاريتمي للوظائف المرتبطة بالوظائف الخطية التي تحددها هذه المتباينات ونثبت خاصية رتابة وسائل كوشي المعممة التي تم الحصول عليها عبر هذه الوظائف.
Sadia Khalid, Josip ‎Pečarić
openaire   +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
openaire   +4 more sources

New discrete inequalities of Hermite–Hadamard type for convex functions

Advances in Difference Equations, 2021
We introduce new time scales on Z $\mathbb{Z}$ . Based on this, we investigate the discrete inequality of Hermite–Hadamard type for discrete convex functions.
Pshtiwan Othman Mohammed, Thabet Abdeljawad, Manar A. Alqudah, Fahd Jarad   +3 more
doaj   +1 more source