Results 1 to 10 of about 673,637 (281)
On Isoperimetric Inequalities in Minkowski Spaces [PDF]
Journal of Inequalities and Applications, 2010 The purpose of this expository paper is to collect some (mainly recent) inequalities, conjectures, and open questions closely related to isoperimetric problems in real, finite-dimensional Banach spaces (= Minkowski spaces). We will also show that, in a way, Steiner symmetrization could be used as a useful tool to prove Petty's conjectured ...
Zokhrab Mustafaev, Horst Martini
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On Gaussian Brunn–Minkowski inequalities [PDF]
Studia Mathematica, 2009 In this paper, we are interested in Gaussian versions of the classical Brunn-Minkowski inequality. We prove in a streamlined way a semigroup version of the Ehrard inequality for $m$ Borel or convex sets based on a previous work by Borell. Our method also allows us to have semigroup proofs of the geometric Brascamp-Lieb inequality and of the reverse one
Barthe, Franck, Huet, Nolwen
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The Brunn–Minkowski Inequality, Minkowski's First Inequality, and Their Duals
Journal of Mathematical Analysis and Applications, 2000 AbstractQuantitative versions are given of the equivalence of the Brunn–Minkowski inequality and Minkowski's first inequality from the Brunn–Minkowski theory. Similar quantitative versions are obtained of the equivalence of the corresponding inequalities from Lutwak's dual Brunn–Minkowski theory. The main results are shown to be the best possible up to
Vassallo, Salvatore Flavio +1 more
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The Brunn-Minkowski Inequality and A Minkowski Problem for Nonlinear Capacity [PDF]
Memoirs of the American Mathematical Society, 2022 In this article we study two classical potential-theoretic problems in convex geometry. The first problem is an inequality of Brunn-Minkowski type for a nonlinear capacity, Cap A , \operatorname {Cap}_{\mathcal {A}}, where A \
Akman, Murat +4 more
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On Minkowski's inequality and its application [PDF]
Journal of Inequalities and Applications, 2011 Abstract In the paper, we first give an improvement of Minkowski integral inequality. As an application, we get new Brunn-Minkowski-type inequalities for dual mixed volumes.
Zhao, CJ, Cheung, WS
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MRI Distance Measures as a Predictor of Subsequent Clinical Status During the Preclinical Phase of Alzheimer's Disease and Related Disorders. [PDF]
Hum Brain MappThis study investigates the use of distance measurements to characterize brain atrophy over time based on MRI data. Our analyses showed that the distance measures consistently outperformed the traditional direct volumetric approach for predicting follow‐up diagnosis, highlighting its potential advantage in capturing the multidimensional aspects of ADRD
Zhang X +15 more
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The extremals of Minkowski’s quadratic inequality [PDF]
Duke Mathematical Journal, 2022 52 pages, 6 figures; final ...
Shenfeld, Yair, van Handel, Ramon
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Minkowski’s inequality and sums of squares [PDF]
Open Mathematics, 2013 Abstract Positive polynomials arising from Muirhead’s inequality, from classical power mean and elementary symmetric mean inequalities and from Minkowski’s inequality can be rewritten as sums of squares.
Péter E. Frenkel, Péter Horváth
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On Hölder and Minkowski Type Inequalities [PDF]
Abstract and Applied Analysis, 2014 We obtain inequalities of Hölder and Minkowski type with weights generalizing both the case of weights with alternating signs and the classical case of nonnegative weights.
Petr Chunaev +2 more
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On the Minkowski-H\"{o}lder type inequalities for generalized Sugeno integrals with an application [PDF]
, 2015 In this paper, we use a new method to obtain the necessary and sufficient condition guaranteeing the validity of the Minkowski-H\"{o}lder type inequality for the generalized upper Sugeno integral in the case of functions belonging to a wider class than ...
Boczek, Michał, Kaluszka, Marek
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