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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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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The Hadamard-Schwarz inequality [PDF]
Journal of Function Spaces and Applications, 2004 Given α1,…,αk arbitrary exterior forms in Rn of degree l1,…,lk, does it follow that |α1∧⋯∧αk|≤|α1|⋯|αk| The answer is no in general. However, it is a persistent, popular and even published misconception that the answer is yes.
Tadeusz Iwaniec +3 more
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On the Hadamard Well-Posedness of Generalized Mixed Variational Inequalities in Banach Spaces
Journal of Mathematics, 2021 We introduce a new concept of Hadamard well-posedness of a generalized mixed variational inequality in a Banach space. The relations between the Levitin–Polyak well-posedness and Hadamard well-posedness for a generalized mixed variational inequality are ...
Lu-Chuan Ceng +5 more
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Hadamard's optimized inequality
Linear Algebra and its Applications, 2021 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Michał Różański, Roman Wituła
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On the Operator Hermite–Hadamard Inequality [PDF]
Complex Analysis and Operator Theory, 2021 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 will be shown too.
Hamid Reza Moradi +2 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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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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Generalized Gram–Hadamard inequality [PDF]
Journal of Inequalities and Applications, 1998 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Constantinescu, Florin (Prof. Dr.) +1 more
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Conformable integral version of Hermite-Hadamard-Fejér inequalities via η-convex functions
AIMS Mathematics, 2020 The purpose of the article is to use symmetric η-convex functions to develop Hermite-Hadamard-Fejér inequality for conformable integral. We establish several conformable integral versions of Hermite-Hadamard-Fejér type inequality for the η-convex ...
Yousaf Khurshid +2 more
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