Results 11 to 20 of about 73 (69)
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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Inequalities for pqth-dual mixed volumes
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2023 In the paper, our main aim is to generalize the qth dual volume to Lp space, and introduce pqth-dual mixed volume by calculating the first order variation of qth dual volumes.
Zhao Chang-Jian, Bencze Mihály
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The Arithmetic Tutte polynomial of two matrices associated to Trees
Special Matrices, 2018 Arithmetic matroids arising from a list A of integral vectors in Zn are of recent interest and the arithmetic Tutte polynomial MA(x, y) of A is a fundamental invariant with deep connections to several areas. In this work, we consider two lists of vectors
Bapat R. B. +1 more
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General (p,q)-mixed projection bodies
Open Mathematics, 2020 In this article, the general (p,q)-mixed projection bodies are introduced. Then, some basic properties of the general (p,q)-mixed projection bodies are discussed, and the extreme values of volumes of the general (p,q)-mixed projection bodies and their ...
Feng Yibin, Zhou Yanping
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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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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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Geometric inequalities for spacelike hypersurfaces in the Minkowski spacetime
, 2001 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 +3 more
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