The affine Orlicz log-Minkowki inequality
-
Published:2022-07-30
Issue:1
Volume:39
Page:293-302
-
ISSN:1584-2851
-
Container-title:Carpathian Journal of Mathematics
-
language:
-
Short-container-title:CJM
Author:
ZHAO CHANG-JIAN, ,
Abstract
In this paper, we establish an affine Orlicz log-Minkowki inequality for the affine quermassintegrals by introducing new concepts of affine measures and Orlicz mixed affine measures, and using the newly established Orlicz affine Minkowski inequality for the affine quermassintegrals. The affine Orlicz log-Minkowski inequality in special case yields $L_{p}$-affine log-Minkowski inequality. The affine log-Minkowski inequality is also derived.
Publisher
Technical University of Cluj Napoca, North University Center of Baia Mare
Subject
General Mathematics