Results 51 to 60 of about 7,690 (255)
AIMS Mathematics, 2022 Since the supposed Hermite-Hadamard inequality for a convex function was discussed, its expansions, refinements, and variations, which are called Hermite-Hadamard type inequalities, have been widely explored.
Jamshed Nasir +4 more
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On the Refined Hermite-Hadamard Inequalities
Mathematical Sciences and Applications E-Notes, 2018 In this paper, we give some new refinements of Hermite-Hadamard inequality for co-ordinated convex function. These refinements provide us better estimation as compare to the earlier established refinements of Hadamard’s inequality.
ALİ, Tahir +3 more
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A dimension-free Hermite–Hadamard inequality via gradient estimates for the torsion function [PDF]
Proceedings of the American Mathematical Society, 2019 Let $\Omega \subset \mathbb{R}^n$ be a convex domain and let $f:\Omega \rightarrow \mathbb{R}$ be a subharmonic function, $\Delta f \geq 0$, which satisfies $f \geq 0$ on the boundary $\partial \Omega$. Then $$ \int_{\Omega}{f ~dx} \leq |\Omega|^{\frac{1}
Jianfeng Lu, S. Steinerberger
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An extension of the Hermite–Hadamard inequality for convex and s-convex functions
Aequationes Mathematicae, 2019 The Hermite–Hadamard inequality was extended using iterated integrals by Retkes [Acta Sci Math (Szeged) 74:95–106, 2008]. In this paper we further extend the main results of the above paper for convex and also for s-convex functions in the second sense.
P. Kórus
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On some inequality of Hermite-Hadamard type
Opuscula Mathematica, 2012 It is well-known that the left term of the classical Hermite-Hadamard inequality is closer to the integral mean value than the right one. We show that in the multivariate case it is not true. Moreover, we introduce some related inequality comparing the methods of the approximate integration, which is optimal.
Alfred Witkowski, Szymon Wąsowicz
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Refinements of quantum Hermite-Hadamard-type inequalities [PDF]
Open Mathematics, 2021 Abstract In this paper, we first obtain two new quantum Hermite-Hadamard-type inequalities for newly defined quantum integral. Then we establish several refinements of quantum Hermite-Hadamard inequalities.
Budak, Huseyin +3 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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Matrix inequalities and majorizations around Hermite–Hadamard’s inequality [PDF]
Canadian Mathematical Bulletin, 2022 AbstractWe study the classical Hermite–Hadamard inequality in the matrix setting. This leads to a number of interesting matrix inequalities such as the Schatten p-norm estimates $$ \begin{align*}\left(\|A^q\|_p^p + \|B^q\|_p^p\right)^{1/p} \le \|(xA+(1-x)B)^q\|_p+ \|((1-x)A+xB)^q\|_p, \end{align*} $$ for all positive (semidefinite) $n\times n ...
Bourin, Jean-Christophe, Lee, Eun-Young
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Refinements on the discrete Hermite–Hadamard inequality [PDF]
Arabian Journal of Mathematics, 2017 In this paper, we use techniques and tools from time scale calculus to state and prove many refinements on the discrete Hermite–Hadamard inequality.
Atıcı, Ferhan M., Yaldız, Hatice
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