An affine isoperimetric inequality for log-concave functions

IF 1.3 3区数学 Q3 MATHEMATICS, APPLIED

Advances in Applied Mathematics Pub Date : 2025-08-29 DOI:10.1016/j.aam.2025.102956

Zengle Zhang , Jiazu Zhou

引用次数: 0

Abstract

The authors gave an affine isoperimetric inequality [41] that gives a lower bound for the volume of a polar body and the equality holds if and only if the body is a simplex. In this paper, we give a functional isoperimetric inequality for log-concave functions that contains the affine isoperimetric inequality of Lutwak, Yang and Zhang in [41].

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对数凹函数的仿射等周不等式

作者给出了一个仿射等周期不等式[41]，该不等式给出了极体体积的下界，当且仅当极体是单纯形时，该不等式成立。本文给出了包含[41]中Lutwak、Yang和Zhang的仿射等周不等式的对数凹函数的泛函等周不等式。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Advances in Applied Mathematics 数学-应用数学

CiteScore

2.00

自引率

9.10%

发文量

审稿时长

85 days

期刊介绍： Interdisciplinary in its coverage, Advances in Applied Mathematics is dedicated to the publication of original and survey articles on rigorous methods and results in applied mathematics. The journal features articles on discrete mathematics, discrete probability theory, theoretical statistics, mathematical biology and bioinformatics, applied commutative algebra and algebraic geometry, convexity theory, experimental mathematics, theoretical computer science, and other areas. Emphasizing papers that represent a substantial mathematical advance in their field, the journal is an excellent source of current information for mathematicians, computer scientists, applied mathematicians, physicists, statisticians, and biologists. Over the past ten years, Advances in Applied Mathematics has published research papers written by many of the foremost mathematicians of our time.