Some inequalities for star duality of the radial Blaschke-Minkowski homomorphisms

Autor:	Zhao Xia, Wang Weidong, Lin Youjiang
Jazyk:	angličtina
Rok vydání:	2020
Předmět:	radial blaschke-minkowski homomorphism star duality brunn-minkowski inequality monotonic inequality shephard-type problem dual quermassintegral 52a20 52a39 52a40 Mathematics QA1-939
Zdroj:	Open Mathematics, Vol 18, Iss 1, Pp 1064-1075 (2020)
Druh dokumentu:	article
ISSN:	2391-5455
DOI:	10.1515/math-2020-0058
Popis:	In 2006, Schuster introduced the radial Blaschke-Minkowski homomorphisms. In this article, associating with the star duality of star bodies and dual quermassintegrals, we establish Brunn-Minkowski inequalities and monotonic inequality for the radial Blaschke-Minkowski homomorphisms. In addition, we consider its Shephard-type problems and give a positive form and a negative answer, respectively.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/81cd13cf69e04b4ca2af0bc2af5e4006 Zobrazit plný text záznamu View record in DOAJ