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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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 +1 more
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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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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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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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Integral inequalities for some convex functions via generalized fractional integrals [PDF]
Journal of Inequalities and Applications, 2018 In this paper, we obtain the Hermite–Hadamard type inequalities for s-convex functions and m-convex functions via a generalized fractional integral, known as Katugampola fractional integral, which is the generalization of Riemann–Liouville fractional ...
Naila Mehreen, Matloob Anwar
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Certain Hermite-Hadamard type inequalities via generalized k-fractional integrals [PDF]
Journal of Inequalities and Applications, 2017 Some Hermite-Hadamard type inequalities for generalized k-fractional integrals (which are also named ( k , s ) $(k,s)$ -Riemann-Liouville fractional integrals) are obtained for a fractional integral, and an important identity is established.
Praveen Agarwal +2 more
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Some refinements of Hermite-Hadamard inequality and an open problem [PDF]
, 2016 We presented here a refinement of Hermite-Hadamard inequality as a linear combination of its end-points. The problem of best possible constants is closely connected with well known Simpson's rule in numerical integration.
Slavko Simić
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A refinement of the right-hand side of the Hermite–Hadamard inequality for simplices [PDF]
, 2016 We establish a new refinement of the right-hand side of the Hermite–Hadamard inequality for simplices, based on the average values of a convex function over the faces of a simplex and over the values at their barycenters.
Monika Nowicka, Alfred Witkowski
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