ESTIMATING SIZES OF A CONVEX BODY BY SUCCESSIVE DIAMETERS AND WIDTHS

被引：22

作者：

BETKE, U

HENK, M

机构：

[1] Mathematisches Institut, Universität Siegen, Siegen, Holderlinstrasse 3

[2] Mathematisches Institut, Universität Siegen, Siegen

来源：

MATHEMATIKA | 1992年 / 39卷 / 78期

关键词：

D O I：

10.1112/S0025579300014984

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The second theorem of Minkowski establishes a relation between the successive minima and the volume of a 0-symmetric convex body. Here we show corresponding inequalities for arbitrary convex bodies, where the successive minima are replaced by certain successive diameters and successive widths. We further give some applications of these results to successive radii, intrinsic volumes and the lattice point enumerator of a convex body.

引用

页码：247 / 257

页数：11

共 20 条

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