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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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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Improvements of the Hermite-Hadamard inequality for the simplex [PDF]
Journal of Inequalities and Applications, 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 its vertices.
Pavić Z.
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New refinements of the Hadamard inequality on coordinated convex function
Journal of Inequalities and Applications, 2019 In this paper, new refinements of the Hadamard inequality on coordinated convex function are established. Besides, a simple proof of the Hadamard type for linear functions is also found.
Adem Kiliçman, Kiliçman Adem
exaly +3 more sources
A generalization of Hadamard’s inequality for convex functions
Applied Mathematics Letters, 2008 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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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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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Examining the Hermite–Hadamard Inequalities for k-Fractional Operators Using the Green Function
Fractal and Fractional, 2023 For k-Riemann–Liouville fractional integral operators, the Hermite–Hadamard inequality is already well-known in the literature. In this regard, this paper presents the Hermite–Hadamard inequalities for k-Riemann–Liouville fractional integral operators by
Çetin Yildiz, Luminiţa-Ioana Cotîrlă
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Variational inequality for a vector field on Hadamard spaces
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2023 Our purpose is to study the variational inequality problem for a vector field on Hadamard spaces. The existence and uniqueness of the solutions to the variational inequality problem associated with a vector field in Hadamard spaces are studied.
Ranjbar Sajad
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