Results 21 to 30 of about 72 (68)
Width-Integrals of Mixed Projection Bodies and Mixed Affine Surface Area 1 [PDF]
, 2011 The main purposes of this paper are to establish some new BrunnMinkowski inequalities for width-integrals of mixed projection bodies and affine surface area of mixed bodies, and get their inverse forms.
Mihály Bencze, Zhao Chang-Jian
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Sharp affine weighted L 2 Sobolev inequalities on the upper half space
Advanced Nonlinear StudiesWe establish some sharp affine weighted L 2 Sobolev inequalities on the upper half space, which involves a divergent operator with degeneracy on the boundary.
Dou Jingbo, Hu Yunyun, Yue Caihui
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Универсални граници за мощността и енергията на кодове в хемингови пространства
, 2022 [Stoyanova Maya; Стоянова Мая]We survey recent results on universal bounds on the energy of codes in Hamming spaces. The universality means, in particular, that the bounds hold for a large class of potential functions (the most important bounds – for ...
Stoyanova, Maya
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The regularity of solutions to the Lp Gauss image problem
Open MathematicsThe Lp{L}_{p} Gauss image problem amounts to solving a class of Monge-Ampère type equations on the sphere. In this article, we discuss the regularity of solutions to the Lp{L}_{p} Gauss image problem.
Jia Xiumei, Chen Jing
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On a Santaló point for Nakamura-Tsuji’s Laplace transform inequality
Forum of Mathematics, SigmaNakamura and Tsuji recently obtained an integral inequality involving a Laplace transform of even functions that implies, at the limit, the Blaschke-Santaló inequality in its functional form.
Dario Cordero-Erausquin +2 more
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Lorentzian polynomials on cones
Forum of Mathematics, SigmaInspired by the theory of hyperbolic polynomials and Hodge theory, we develop the theory of Lorentzian polynomials on cones. This notion captures the Hodge-Riemann relations of degree zero and one.
Petter Brändén, Jonathan Leake
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Equality cases of the Alexandrov–Fenchel inequality are not in the polynomial hierarchy
Forum of Mathematics, PiDescribing the equality conditions of the Alexandrov–Fenchel inequality [Ale37] has been a major open problem for decades. We prove that in the case of convex polytopes, this description is not in the polynomial hierarchy unless the polynomial hierarchy ...
Swee Hong Chan, Igor Pak
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Geometric properties of the family of p-parallel bodies
Analysis and Geometry in Metric SpacesWe study geometric properties of the family of p-parallel bodies of a convex body K with respect to a gauge body E. In particular, we investigate various regularity properties of their boundaries by means of their 0-extreme vectors, aiming for extensions
Hernández Cifre María A. +2 more
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A GENERALIZATION OF THE MATRIX FORM OF THE BRUNN-MINKOWSKI INEQUALITY
, 2007 In this paper, we establish an extension of the matrix form of the Brunn-Minkowski inequality. As applications, we give generalizations on the metric addition inequality of Alexander.
Jun Yuan, Gangsong Leng, A Rubinov
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Some inequalities for two simplices in the Euclidean space En. [PDF]
Heliyon, 2023 Pan J, Zuo X.
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