Results 1 to 10 of about 47,370 (280)
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 ...
Pavić Z.
europepmc +9 more sources
Old and new on the Hermite-Hadamard inequality. [PDF]
Real Analysis Exchange, 2004 The goal of this paper is to describe the panorama of Mathematics grown up from the celebrated inequality of Hermite and Hadamard.
Constantin P. Niculescu, L. Persson
semanticscholar +6 more sources
Uniform Treatment of Integral Majorization Inequalities with Applications to Hermite-Hadamard-Fejér-Type Inequalities and f-Divergences [PDF]
Entropy, 2023 In this paper, we present a general framework that provides a comprehensive and uniform treatment of integral majorization inequalities for convex functions and finite signed measures.
László Horváth
doaj +2 more sources
Hermite-Hadamard inequality for new generalized conformable fractional operators
AIMS Mathematics, 2021 This paper is concerned to establish an advanced form of the well-known Hermite-Hadamard (HH) inequality for recently-defined Generalized Conformable (GC) fractional operators.
Tahir Ullah Khan, Muhammad Adil Khan
doaj +2 more sources
The Hermite–Hadamard Inequality in Higher Dimensions [PDF]
The Journal of Geometric Analysis, 2018 The Hermite–Hadamard inequality states that the average value of a convex function on an interval is bounded from above by the average value of the function at the endpoints of the interval. We provide a generalization to higher dimensions: let $$\Omega \
S. Steinerberger
semanticscholar +5 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 +4 more
europepmc +6 more sources
On the Operator Hermite–Hadamard Inequality [PDF]
Complex Analysis and Operator Theory, 2019 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 ...
H. Moradi, M. Sababheh, S. Furuichi
semanticscholar +4 more sources
Improvements of the Hermite-Hadamard inequality [PDF]
Journal of Inequalities and Applications, 2015 The article provides refinements and generalizations of the Hermite-Hadamard inequality for convex functions on the bounded closed interval of real numbers. Improvements are related to the discrete and integral part of the inequality.
Zlatko Pavić
semanticscholar +4 more sources
Hermite–Hadamard type inequalities for fractional integrals via Green’s function [PDF]
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 +3 more
doaj +2 more sources
Applications of the Hermite-Hadamard inequality [PDF]
Mathematical Inequalities & Applications, 2016 We show how the recent improvement of the Hermite-Hadamard inequality can be applied to some (not necessarily convex) planar figures and three-dimensional bodies satisfying some kind of regularity.
M. Nowicka, A. Witkowski
semanticscholar +5 more sources