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On Upper Estimations of Hermite–Hadamard Inequalities [PDF]

Mathematics
Convex functions play a key role in many branches of pure and applied mathematics. In this paper, we prove that if a convex function is not continuous, then the classical Hermite–Hadamard inequality, the Hermite–Hadamard inequality for the Riemann ...
Yasin Kaya
doaj   +3 more sources

Hermite-Hadamard Inequality on Time Scales [PDF]

Journal of Inequalities and Applications, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Cristian Dinu
core   +9 more sources

Refinements on the discrete Hermite–Hadamard inequality [PDF]

Arabian Journal of Mathematics, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Atıcı, Ferhan M., Yaldız, Hatice
openaire   +4 more sources

The converse of the Hermite–Hadamard inequality on simplices [PDF]

Expositiones Mathematicae, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mitroi-Symeonidis, Flavia-Corina, Symeonidis, Eleutherius   +1 more
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Improvements of the Hermite-Hadamard inequality for the simplex. [PDF]

J Inequal Appl, 2017
In this study, the simplex whose vertices are barycenters of the given simplex facets plays an essential role. The article provides an extension of the Hermite-Hadamard inequality from the simplex barycenter to any point of the inscribed simplex except its vertices.
Pavić Z.
europepmc   +6 more sources

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

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

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

Some Properties and Inequalities for the h,s-Nonconvex Functions

Journal of Mathematics, 2020
The purpose of this paper is to introduce the notion of strongly h,s-nonconvex functions and to present some basic properties of this class of functions. We present Schur inequality, Jensen inequality, Hermite–Hadamard inequality, and weighted version of
Chengli Wang, Muhammad Shoaib Saleem, Hamood Ur Rehman, Muhammad Imran   +3 more
doaj   +1 more source