青岛大学学报（自然科学版）2025，Vol.38Issue(3)：1-6,6.DOI:10.3969/j.issn.1006-1037.2025.03.01
星体的Green-Osher型不等式及其应用
Green-Osher Type Inequality for Star Bodies and Its Applications
摘要
Abstract
To compare the squared norm ‖(t)k‖2 of the dual relative Steiner polynomial roots with the relative radial function (φ)k for star bodies P and Q,a nonnegative real num-ber r0 was defined by the roots of the j-th dual relative Steiner polynomial.Then analo-gously to the method of proving Green-Osher inequality for planar convex bodies,a Green-Osher type inequality for star bodies in Rn was deduced.Based on this result,two dual Minkowski type inequalities were obtained.关键词
星体/Steiner多项式/Green-Osher不等式/Minkowski不等式Key words
star body/Steiner polynomial/Green-Osher inequality/Minkowski inequality分类
数理科学引用本文复制引用
丁洁,张德燕,袁名扬..星体的Green-Osher型不等式及其应用[J].青岛大学学报（自然科学版）,2025,38(3):1-6,6.基金项目
安徽省高校自然科学研究重大项目(批准号:2022AH040067)资助 （批准号:2022AH040067）
安徽省高等学校省级质量工程项目(批准号:2022kcsz256,2021jyxm1326)资助 （批准号:2022kcsz256,2021jyxm1326）
安徽省新时代育人质量工程项目课程思政示范课(批准号:2023szsfkc077)资助. （批准号:2023szsfkc077）
