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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 +2 more
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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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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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A generalization of Hermite-Hadamard’s inequality [PDF]
Kragujevac Journal of Mathematics, 2017 In literature the Hermite-Hadamard inequality was eligible for many reasons, one of the most surprising and interesting that the Hermite-Hadamard inequality combine the midpoint and trapezoid formulae in an inequality. In this work, a Hermite-Hadamard like inequality that combines the composite trapezoid and composite midpoint formulae is proved.
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Caputo Fractional Derivative Hadamard Inequalities for Strongly m-Convex Functions
Journal of Function Spaces, 2021 In this paper, two versions of the Hadamard inequality are obtained by using Caputo fractional derivatives and strongly m-convex functions. The established results will provide refinements of well-known Caputo fractional derivative Hadamard inequalities ...
Xue Feng +5 more
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Stolarsky Means and Hadamard's Inequality
Journal of Mathematical Analysis and Applications, 1998 A generalization is given of the extension of Hadamrd's inequality to r-convex functions. A corresponding generalization of the Fink-Mond-Pečarić inequalities for r-convex functions in established.
Pearce, Charles E. M. +2 more
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Hermite–Hadamard type inequalities for fractional integrals via Green’s function
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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Hadamard’s inequality in the mean
Nonlinear AnalysisLet $Q$ be a Lipschitz domain in $\mathbb{R}^n$ and let $f \in L^{\infty}(Q)$. We investigate conditions under which the functional $$I_n(φ)=\int_Q |\nabla φ|^n+ f(x)\,\mathrm{det} \nabla φ\, \mathrm{d}x $$ obeys $I_n \geq 0$ for all $φ\in W_0^{1,n}(Q,\mathbb{R}^n)$, an inequality that we refer to as Hadamard-in-the-mean, or (HIM).
Bevan, Jonathan +2 more
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Inequalities of Hermite-Hadamard Type [PDF]
Moroccan Journal of Pure and Applied Analysis, 2015 AbstractSome inequalities of Hermite-Hadamard type for λ-convex functions defined on convex subsets in real or complex linear spaces are given. Applications for norm inequalities are provided as well.
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Canadian Journal of Statistics, EarlyView.Abstract Homogeneous normalized random measures with independent increments represent a broad class of Bayesian nonparametric priors and thus are widely used. In this article, we obtain the strong law of large numbers, the central limit theorem (CLT), and the functional central limit theorem (fCLT) of such measures when the concentration parameter a ...
Junxi Zhang, Shui Feng, Yaozhong Hu
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