On some sharp Chernoff type inequalities

被引：0
|
作者：
Zhou, Yuqi [1 ]
Zeng, Chunna [1 ]
机构：
[1] Chongqing Normal Univ, Sch Math Sci, Chongqing 401331, Peoples R China
来源：
ACTA MATHEMATICA SCIENTIA | 2025年 / 45卷 / 02期
基金：
中国国家自然科学基金;
关键词：
Chernoff type inequality; Fourier series; k-order radial function; reverse Chernoff type inequality; ISOPERIMETRIC INEQUALITY; WIDTH; STABILITY; SURFACE;
D O I：
10.1007/s10473-025-0215-6
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Two sharp Chernoff type inequalities are derived for star bodies in & Ropf;2, one is an extension of the dual Chernoff-Ou-Pan inequality, and the other is the reverse Chernoff type inequality. Furthermore, we establish a generalized dual symmetric mixed Chernoff inequality for two planar star bodies. As a direct consequence, a new proof of the dual symmetric mixed isoperimetric inequality is presented.
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页码：540 / 552
页数：13
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