Research Article

A new mixed sine ellipsoid and related volume inequalities

DOI: 10.2989/16073606.2026.2638927
Author(s): Ai-Jun LiSchool of Science, Zhejiang University of Science and Technology, China, Baihe LiuSchool of Science, Zhejiang University of Science and Technology, China, Yan-Min ZhangSchool of Computer Science and Mathematics, Anyang University, China,
Keywords: 52A40,

Abstract

Based on the mixed cone-volume measure, we introduce in this paper a new ellipsoid, called the mixed-sine Lutwak-Yang-Zhang (LYZ) ellipsoid, which serves as a sine counterpart to the mixed LYZ ellipsoid. Several related volume inequalities for this ellipsoid are also established.

Get new issue alerts for Quaestiones Mathematicae