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 \
Stefan Steinerberger
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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
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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
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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 ...
Pavić Z.
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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
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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
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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
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Hermite-Hadamard type inequalities for p-convex functions via fractional integrals [PDF]
Moroccan Journal of Pure and Applied Analysis, 2017 In this paper, we present Hermite-Hadamard inequality for p-convex functions in fractional integral forms. we obtain an integral equality and some Hermite-Hadamard type integral inequalities for p-convex functions in fractional integral forms.
Kunt Mehmet, İşcan İmdat
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On the generalization of Hermite-Hadamard type inequalities for E`-convex function via fractional integrals [PDF]
HeliyonThe main motivation in this article is to prove new integral identities and related results. In this paper, we deal with E`-convex function, Hermite-Hadamard type inequalities, and Katugampola fractional integrals.
Muhammad Sadaqat Talha +5 more
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Hermite-Hadamard Inequality on Time Scales [PDF]
Journal of Inequalities and Applications, 2008 We discuss some variants of the Hermite-Hadamard inequality for convex functions on time scales. Some improvements and applications are also included.
C. Dinu
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