Results 31 to 40 of about 72 (68)
Cyclic Brunn-Minkowski Inequalities for p-affine surface area
, 2017 In 2010, Werner and Ye extended the denition for mixed p-affine surface area to all real numbers p. Following this, we establish some isoperimetric inequalities for the general mixed p-affine surface area.
Zhao, Chang-Jian
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The (p, q)-mixed geominimal surface areas
, 2019 The (p, q)-mixed geominimal surface areas are introduced. A special case of the new concept is the Lp geominimal surface area introduced by Lutwak. Related inequalities, such as affine isoperimetric inequality, monotonous inequality, cyclic inequality ...
He, Binwu, Feng, Yibin
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Some inequalities for Lp radial Blaschke-Minkowski homomorphisms1
, 2019 The notion of radial Blaschke-Minkowski homomorphisms was presented by Schuster. Afterwards, Wang et al. introduced Lp radial Blaschke-Minkowski homomorphisms.
Wang, Weidong, Chen, Bin
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Orlicz-Brunn-Minkowski inequality for radial Blaschke-Minkowski homomorphisms
, 2018 In this paper, we extend the Brunn-Minkowski inequality for radial Blaschke-Minkowski homomorphisms to an Orlicz setting and an Orlicz-Brunn- Minkowski inequality for radial Blaschke-Minkowski homomorphisms is established.
Zhao, Chang-Jian
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The Dyn-Farkhi conjecture and the convex hull of a sumset in two dimensions
Click on the DOI link to access this article at the publishers website (may not be free).We study the Hausdorff distance to convex hull, which for a compact set A ? Rn is defined by d(A):= dH(A, conv(A)), where dH is the Hausdorff metric.
Meyer, Mark
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Some inequalities for asymmetric Lp-mean zonoids1
, 2019 Based on the notion of Lp-mean zonoids which is introduced by Xi, Guo and Leng, we dene the notion of asymmetric Lp-mean zonoids and establish its an affine inequality. Further, we give the extremal values for volume, quermassintegrals of this notion and
Li, Tian, Wang, Weidong
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Chords Halving The Area Of A Planar Convex Set
, 2005 Let K be a compact convex set in the plane. A halving chord of K is a line segment pp, p, p #K, which divides the area of K into two equal parts. For every direction v there exists exactly one halving chord. Its length hA (v) is the corresponding
A. Grüne +3 more
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Несамопресичащи се разходки в равнината
, 2012 Румен Руменов Данговски, Калина Христова Петрова - Разглеждаме броя на несамопресичащите се разходки с фиксирана дължина върху целочислената решетка. Завършваме анализа върху случая за лента, с дължина едно.
Dangovski, Rumen, Petrova, Kalina
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Minimal Riesz energy point configurations for rectifiable d-dimensional manifolds
, 2005 We investigate the energy of arrangements of N points on a rectifiable d-dimensional manifold A ⊂ Rd ′ that interact through the power law (Riesz) potential V = 1/rs, where s> 0 and r is Euclidean distance in Rd ′.
D. P. Hardin, E. B. Saff
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Intrinsic volumes and polar sets in spherical space
, 2003 . For a convex body of given volume in spherical space, the total invariant measure of hitting great subspheres becomes minimal, equivalently the volume of the polar body becomes maximal, if and only if the body is a spherical cap.
Daniel Hug, Rolf Schneider, Fuchang Gao
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