DUAL TYPE QUERMASSINTEGRAL INEQUALITIES FOR POLAR Lp-CENTROID BODIES

Weidong Wang

doi:10.1216/rmj.2023.53.1635

Abstract

Lutwak and Zhang introduced $L_{p}$ -centroid bodies and established the $L_{p}$ -centro-affine inequality. Thereafter, Lutwak, Yang and Zhang established the $L_{p}$ -Busemann–Petty centroid inequality. In this paper, we give the inequalities of dual quermassintegrals, dual affine quermassintegrals and dual harmonic quermassintegrals for polar $L_{p}$ -centroid bodies.

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Weidong Wang. "DUAL TYPE QUERMASSINTEGRAL INEQUALITIES FOR POLAR $L_{p}$ -CENTROID BODIES." Rocky Mountain J. Math. 53 (5) 1635 - 1644, October 2023. https://doi.org/10.1216/rmj.2023.53.1635

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Received: 27 December 2021; Revised: 26 September 2022; Accepted: 3 October 2022; Published: October 2023

First available in Project Euclid: 19 September 2023

MathSciNet: MR4643823

Digital Object Identifier: 10.1216/rmj.2023.53.1635

Subjects:

Primary: 52A20 , 52A40

Keywords: dual affine quermassintegral , dual harmonic quermassintegral , dual quermassintegral , polar Lp-centroid body , Steiner symmetrization

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