A strong law of large numbers on the harmonic \(p\)-combination
type: Item
instance of: scholarly article
title: A strong law of large numbers on the harmonic \(p\)-combination
zbMATH Open document ID: 1232.60022
author: Rigao He
author: Gangsong Leng
published in: Geometriae Dedicata
publication date: 2011-10-11T00:00:00Z
review text: The classical Brunn-Minkowski theory has a natural extension in what became known as the \(L_p\) Brunn-Minkowski theory. The harmonic \(p\)-combination which is the generalization of the Firey-Minkowski \(L_p\) combination of convex bodies was introduced in [\textit{E. Lutwak}, Adv. Math. 118, No.~2, 244--294 (1996; Zbl 0853.52005)]. In this paper, the authors establish a strong law of large numbers for the harmonic \(p\)-combination of random star bodies. The organization of the paper is as follows. In Section 2, the authors set notations and give preliminaries. Section 3 is denoted to the establishment of the strong law of large numbers on the harmonic \(p\)-combination.
reviewed by: Viktor Ohanyan
Mathematics Subject Classification ID: 60F15
Mathematics Subject Classification ID: 60D05
Mathematics Subject Classification ID: 52A20
Mathematics Subject Classification ID: 52A22
zbMATH DE Number: 5956854
zbMATH Keywords: harmonic \(p\)-combination
zbMATH Keywords: random set
zbMATH Keywords: random star body
MaRDI profile type: Publication
full work available at URL: s10711-010-9570-z
OpenAlex ID: W1978769943
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DOI: 10.1007/S10711-010-9570-Z
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description: scientific article; zbMATH DE number 5956854