Intersection bodies and dual mixed volumes
WebKeywords. Dual mixed volumes; mixed projection bodies; mixed intersection bodies. 0. Introduction One might say the history of intersection bodies began with the paper of … Web8 rows · Lutwak, E. (1988). Intersection bodies and dual mixed volumes. Advances in Mathematics, 71(2), ...
Intersection bodies and dual mixed volumes
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WebLet be intersection body and be a star body in . If , then In both cases equality holds if and only if . In 2007, Yu et al. defined the quasi intersection body as follows: let be a star body and . The quasi intersection body, , of is defined by for , where denotes the dual mixed volume (see ). Suppose that is a Borel function on . WebIn 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 …
WebLutwak the intersection body of K. The intersection body, which may be viewed as the dual of the projection body, is an important tool in understanding the sections of convex … WebMar 7, 2024 · Erwin Lutwak is known for his Dual Brunn Minkowski Theory, his notion of intersection body and his contribution to the solution of the Busemann–Petty problem, for proving the long-conjectured upper-semicontinuity of affine surface area, his contributions to the L p Brunn Minkowski Theory and, in particular, his L p Minkowski problem and its ...
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WebApr 1, 2016 · In this paper, we prove a dual Bergstrom type inequality for q-dual mixed volumes. Furthermore, we introduce the Lp -mixed intersection bodies for any real … royal radisson copenhagenWebFeb 26, 2010 · Intersection bodies and polytopes - Volume 46 Issue 1. An origin-symmetric convex body K in ℝ n is called an intersection body if its radial function ρ K … royal rally of scandinaviaWebIn this paper, we first introduce a new concept of dual quermassintegral sum function of two star bodies and establish Minkowski’s type inequality for dual quermassintegral sum of … royal rajputi chiffon sareesroyal raindrop crabapple trees imagesWebChin. Ann. Math. 26B:3(2005),423–436. INEQUALITIES FOR MIXED INTERSECTION BODIES∗∗∗ YUAN Shufeng∗ LENG Gangsong∗∗ Abstract In this paper, some properties of mixed in royal rajput cottageWebApr 14, 2024 · Among the performers in the mix for the male lead of Nick, the steel mill owner who falls for employee Alex, was a young Kevin Costner, who read audition … royal ranch washingtonWebJan 31, 1993 · Convex bodies : the Brunn-Minkowski theory. Rolf Schneider 1 • Institutions (1) 31 Jan 1993 -. TL;DR: Inequalities for mixed volumes 7. Selected applications Appendix as discussed by the authors ] is a survey of mixed volumes with bounding boxes and quermass integrals, as well as a discussion of their applications. Abstract: 1. Basic … royal ranch surprise az hoa