Results 31 to 40 of about 1,943 (219)
A Note on Characterization of h-Convex Functions via Hermite-Hadamard Type Inequality
Проблемы анализа, 2019 A characterization of h-convex function via Hermite-Hadamard inequality related to the h-convex functions is investigated. In fact it is determined that under what conditions a function is h-convex, if it satisfies the h-convex version of Hermite ...
Delavar M. Rostamian +2 more
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Old and New on the Hermite-Hadamard Inequality
Real Analysis Exchange, 2004 This paper is a survey of the results grown up from the Hermite-Hadamard inequality. Both, old and new results are presented, complemented and discussed within this framework. The Hermite-Hadamard inequality is presented in connection with subdifferentials and quadrature formulae; some improvements of it are discussed. Then a short account on classical
Niculescu, Constantin P. +1 more
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Some Fejér-Type Inequalities for Generalized Interval-Valued Convex Functions
Mathematics, 2022 The goal of this study is to create new variations of the well-known Hermite–Hadamard inequality (HH-inequality) for preinvex interval-valued functions (preinvex I-V-Fs). We develop several additional inequalities for the class of functions whose product
Muhammad Bilal Khan +3 more
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AIP Advances, 2018 In this paper, our main aim is to give results for conformable fractional integral version of Hermite-Hadamard inequality and their applications for mid-point formula and means.
Arshad Iqbal +4 more
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Some Further Results Using Green’s Function for s-Convexity
Journal of Mathematics, 2023 For s-convex functions, the Hermite–Hadamard inequality is already well-known in convex analysis. In this regard, this work presents new inequalities associated with the left-hand side of the Hermite–Hadamard inequality for s-convexity by utilizing a ...
Çetin Yildiz +3 more
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On the Hermite-Hadamard Inequality and Other Integral Inequalities Involving Two Functions [PDF]
, 2009 We establish some new Hermite-Hadamard-type inequalities involving product of two functions. Other integral inequalities for two functions are obtained as well.
Ozdemir, M +11 more
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A Sharp Multidimensional Hermite–Hadamard Inequality [PDF]
International Mathematics Research Notices, 2020 Abstract Let $\Omega \subset {\mathbb{R}}^d $, $d \geq 2$, be a bounded convex domain and $f\colon \Omega \to{\mathbb{R}}$ be a non-negative subharmonic function. In this paper, we prove the inequality $$\begin{equation*} \frac{1}{|\Omega|}\int_{\Omega} f(x)\, \textrm{d}x \leq \frac{d}{|\partial\Omega|}\int_{\partial\Omega} f(x ...
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Generalization and Refinements of Hermite-Hadamard's Inequality
Rocky Mountain Journal of Mathematics, 2005 The Hermite-Hadamard inequality can be easily extended to the case of twice differentiable functions \(f\) with bounded second derivative. Precisely, if \(\gamma\leq f^{\prime\prime} \leq\Gamma,\) then \[ \frac{3S_{2}-2\Gamma}{24}(b-a)^{2}\leq\frac{1}{b-a}\int_{a}^{b}f\,dt-f\left( \frac{a+b}{2}\right) \leq\frac{3S_{2}-2\gamma}{24}(b-a)^{2} \] and ...
Qi, Feng, Wei, Zong-Li, Yang, Qiao
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Hermite-Hadamard-Fejér inequalities for double integrals
Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics, 2021 Summary: In this paper, we first obtain Hermite-Hadamard-Fejer inequalities for co-ordinated convex functions in a rectangle from the plane \(\mathbb{R}^2\). Moreover, we give the some refinement of these obtained Hermite-Hadamard-Fejer inequalities utilizing two mapping.
Budak, Hüseyin, Sarıkaya, Mehmet Zeki
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Journal of Applied Mathematics, 2014 We obtain some Hermite-Hadamard type inequalities for s-convex functions on the coordinates via Riemann-Liouville integrals. Some integral inequalities with the right-hand side of the fractional Hermite-Hadamard type inequality are also established.
Feixiang Chen
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