摘要
Böröczky-Lutwak-Yang-Zhang proved the log-Brunn-Minkowski inequality for two origin-symmetric convex bodies in the plane in a way that is stronger than for the classical Brunn-Minkowski inequality.In this paper,we investigate the relative positive center set of planar convex bodies.As an application of the relative positive center,we prove the log-Minkowski inequality and the log-Brunn-Minkowski inequality.
作者
杨云龙
江楠
张德燕
Yunlong YANG;Nan JIANG;Deyan ZHANG(School of Science,Dalian Maritime University,Dalian 116026,China;School of Mathematical Sciences,Huaibei Normal University,Huaibei 235000,China)
基金
Supported by the Excellent Young Talents Fund Program of Higher Education Institutions of Anhui Province (gxyqZD2020022)
the University Natural Science Research Project of Anhui Province (2022AH040067)
the Fundamental Research Funds for the Central Universities (3132023202)
National Natural Science Foundation of China (12001080).
