摘要
An upper estimate of the new curvature entropy is provided,via the integral inequality of a concave function.For two origin-symmetric convex bodies in R^(n),this bound is sharper than the log-Minkowski inequality of curvature entropy.As its application,a novel proof of the log-Minkowski inequality of curvature entropy in the plane is given.
作者
Deyi LI
Lei MA
Chunna ZENG
李德宜;马磊;曾春娜(School of Science,Wuhan University of Science and Technology,Wuhan,430081,China;School of Sciences,Guangdong Preschool Normal College in Maoming,Maoming,525200,China;School of Mathematical Sciences,Chongqing Normal University,Chongqing,401331,China)
基金
supported by the NSFC(12171378)
supported by the Characteristic innovation projects of universities in Guangdong province(2023K-TSCX381)
supported by the Young Top-Talent program of Chongqing(CQYC2021059145)
the Major Special Project of NSFC(12141101)
the Science and Technology Research Program of Chongqing Municipal Education Commission(KJZD-K202200509)
the Natural Science Foundation Project of Chongqing(CSTB2024NSCQ-MSX0937).
