Results 11 to 20 of about 72 (68)
On Minkowski's inequality and its application
Journal of Inequalities and Applications, 2011 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.
Cheung Wing-Sum, Zhao Chang-Jian
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Inequalities of Aleksandrov body
Journal of Inequalities and Applications, 2011 A new concept of p-Aleksandrov body is firstly introduced. In this paper, p-Brunn-Minkowski inequality and p-Minkowski inequality on the p-Aleksandrov body are established.
Yan Hu, Junhua Jiang
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Journal of Inequalities and Applications, 2011 Lutwak proposed the notion of Lp -geominimal surface area according to the Lp -mixed volume. In this article, associated with the Lp -dual mixed volume, we introduce the Lp -dual geominimal surface area and prove some inequalities for this notion.
Weidong Wang, Chen Qi
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Infant Mental Health Journal: Infancy and Early Childhood, Volume 43, Issue 3, Page 455-473, May 2022., 2022 Abstract Research points to the significant impact of maternal distress on the parent‐infant relationship and infant development. The Newborn Behavioral Observations (NBO) is a brief intervention supporting the infant, the parent and their relationship.
Susan Nicolson +2 more
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Strengthened inequalities for the mean width and the ℓ‐norm
Journal of the London Mathematical Society, Volume 104, Issue 1, Page 233-268, July 2021., 2021 Abstract Barthe proved that the regular simplex maximizes the mean width of convex bodies whose John ellipsoid (maximal volume ellipsoid contained in the body) is the Euclidean unit ball; or equivalently, the regular simplex maximizes the ℓ‐norm of convex bodies whose Löwner ellipsoid (minimal volume ellipsoid containing the body) is the Euclidean unit
Károly J. Böröczky +2 more
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INEQUALITIES BETWEEN MIXED VOLUMES OF CONVEX BODIES: VOLUME BOUNDS FOR THE MINKOWSKI SUM
Mathematika, Volume 66, Issue 4, Page 1003-1027, October 2020., 2020 Abstract In the course of classifying generic sparse polynomial systems which are solvable in radicals, Esterov recently showed that the volume of the Minkowski sum P1+⋯+Pd of d‐dimensional lattice polytopes is bounded from above by a function of order O(m2d), where m is the mixed volume of the tuple (P1,⋯,Pd).
Gennadiy Averkov +2 more
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International Journal of Mathematics and Mathematical Sciences, Volume 1, Issue 1, Page 63-67, 1978., 1977 A new proof of a (slightly extended) geometric version of Tucker′s fundamental result is given.
Abraham Berman, Michael Tarsy
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Brascamp–Lieb Inequalities on Compact Homogeneous Spaces
Analysis and Geometry in Metric Spaces, 2019 We provide a general strategy to construct multilinear inequalities of Brascamp–Lieb type on compact homogeneous spaces of Lie groups. As an application we obtain sharp integral inequalities on the real unit sphere involving functions with some degree of
Bramati Roberto
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Geometric inequalities for spacelike hypersurfaces in the Minkowski spacetime
, 2019 We derive a linear isoperimetric inequality and some geometric inequalities for properly located compact achronal spacelike hypersurfaces via a Minkowski-type integral formula in the Minkowski spacetime. (C) 2001 Elsevier Science B.V. All rights reserved.
Bahn, H, Hong, SP
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Open Mathematics, 2018 In this paper, by the Orlicz-Minkowski combinations of convex bodies, we define the general Orlicz difference bodies and study their properties. Furthermore, we obtain the extreme values of the general Orlicz difference bodies and their polars.
Shi Wei, Wang Weidong, Ma Tongyi
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