Results 21 to 30 of about 32,897 (198)
Orlicz Mean Dual Affine Quermassintegrals
Journal of Function Spaces, 2018 Our main aim is to generalize the mean dual affine quermassintegrals to the Orlicz space. Under the framework of dual Orlicz-Brunn-Minkowski theory, we introduce a new affine geometric quantity by calculating the first Orlicz variation of the mean dual ...
Chang-Jian Zhao, Wing-Sum Cheung
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An Inequality for Minkowski Matrices [PDF]
Proceedings of the American Mathematical Society, 1953 Introduction. The class of Minkowski matrices consists of square matrices of the form a -a, where a is the identity matrix and a, with real or complex elements, satisfies the condition (1). The inequality is given in the lemma, which improves the author's previous result [3, p. 239] by removing two restrictions.2 Refinements of the inequality are given
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Gaussian Brunn-Minkowski inequalities [PDF]
Transactions of the American Mathematical Society, 2010 This paper focuses on two fundamental ingredients of mathematics: Gauss measure \(\gamma_n\), the most important probability measure in \(\mathbb{R}^n\), and the Brunn-Minkowski inequality, one of the most powerful inequalities in analysis and geometry.
Gardner, Richard J., Zvavitch, Artem
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Cyclic Brunn–Minkowski inequalities for general width and chord-integrals
Journal of Inequalities and Applications, 2019 In this paper, we establish two cyclic Brunn–Minkowski inequalities for the general ith width-integrals and general ith chord-integrals, respectively. Our works bring the cyclic inequality and Brunn–Minkowski inequality together.
Linmei Yu, Yuanyuan Zhang, Weidong Wang
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On Gaussian Brunn-Minkowski inequalities [PDF]
, 2008 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
Barthe, Franck, Huet, Nolwen
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The Dual Orlicz–Aleksandrov–Fenchel Inequality
Mathematics, 2020 In this paper, the classical dual mixed volume of star bodies V˜(K1,⋯,Kn) and dual Aleksandrov–Fenchel inequality are extended to the Orlicz space. Under the framework of dual Orlicz-Brunn-Minkowski theory, we put forward a new affine geometric quantity ...
Chang-Jian Zhao
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Orlicz-Aleksandrov-Fenchel Inequality for Orlicz Multiple Mixed Volumes
Journal of Function Spaces, 2018 Our main aim is to generalize the classical mixed volume V(K1,…,Kn) and Aleksandrov-Fenchel inequality to the Orlicz space. In the framework of Orlicz-Brunn-Minkowski theory, we introduce a new affine geometric quantity by calculating the Orlicz first ...
Chang-Jian Zhao
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Some logarithmic Minkowski inequalities for nonsymmetric convex bodies and related problems
Journal of Inequalities and Applications, 2020 In this paper, we show the existence of a solution to an even logarithmic Minkowski problem for p-capacity and prove some analogue inequalities of the logarithmic Minkowski inequality for general nonsymmetric convex bodies involving p-capacity.
Lewen Ji
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Averaged Energy Conditions and Quantum Inequalities [PDF]
, 1994 Connections are uncovered between the averaged weak (AWEC) and averaged null (ANEC) energy conditions, and quantum inequality restrictions on negative energy for free massless scalar fields. In a two-dimensional compactified Minkowski universe, we derive
A. Borde +37 more
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Geometric approaches to establish the fundamentals of Lorentz spaces $\mathbb{R}_2^3$ and $\mathbb{R}_1^2$ [PDF]
Mathematica BohemicaThe aim of this paper is to investigate the orthogonality of vectors to each other and the Gram-Schmidt method in the Minkowski space $\mathbb{R}_2^3$.
Sevilay Çoruh Şenocak, Salim Yüce
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