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Intersection bodies and dual mixed volumes

Webmixed volumes. Key Words: Dual mixed volumes, the Aleksandrov-Fenchel ine-quality, Mixed intersection bodies. 2000 Mathematics Subject Classification: Primary 52A40. One might say the history of intersection bodies began with the paper[1] of Busemann. Intersection bodies were first explicily defined and named by Lut-wak[2]. WebZhang, G.Y. (1994) Centered Bodies and Dual Mixed Volumes. Transactions of the American Mathematical Society, 345, 777-801. [ 15 ]

Inequalities for dual quermassintegrals of mixed …

WebFeb 1, 1994 · The intersection body, which may be viewed as the dual of the projection body, is an important tool in understanding the sections of convex bodies. Lutwak … WebIntersection bodies and dual mixed volumes. E Lutwak. Advances in Mathematics 71 (2), 232-261, 1988. 556: 1988: Dual mixed volumes. ... Centroid bodies and dual mixed volumes. E Lutwak. Proceedings of the London Mathematical Society 3 (2), 365-391, 1990. 269: 1990: The even Orlicz Minkowski problem. ship ladder platform https://ventunesimopiano.com

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WebFind the latest published documents for dual mixed volumes, Related hot topics, top authors, the most cited documents, ... Abstract In this paper, we introduce the new notions of {L_{p}} -intersection and mixed intersection bodies. Inequalities for the q-dual volume sum of {L_{p}} -mixed intersection bodies are established. WebApr 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 … 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 . ship ladder railing

Mixed volumes and dual mixed volumes (A) - Geometric …

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Intersection bodies and dual mixed volumes

arXiv:math/0503096v1 [math.MG] 5 Mar 2005

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Intersection bodies and dual mixed volumes

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Web8 rows · Lutwak, E. (1988). Intersection bodies and dual mixed volumes. Advances in Mathematics, 71(2), ... 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 …

WebChin. 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 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 …

WebIn 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 … WebMar 1, 2024 · References [1] H. Busemann, Volume in terms of concurrent cross-sections, Pacific J. Math. 3 (1953), 1–12. 10.2140/pjm.1953.3.1 Search in Google Scholar [2] S. …

WebDec 3, 2024 · Abstract. A generalized dual Brunn–Minkowski inequality for the intersection body is established in the framework of the dual Orlicz Brunn–Minkowski theory. This …

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 … ship ladder regulationsWebThe paper shows that no origin-symmetric convex polyhedron in R 3 is the intersection body of a star body. It is shown also that every originsymmetric convex body in R d, for … ship ladder specificationsWebNov 30, 2010 · The paper extends the two notions of the dual mixed volumes and L p -intersection body to q-dual mixed volumes and L p -mixed intersection body, … ship ladder well