On p-measures of asymmetry for convex bodies

被引：20

作者：

Guo, Qi ^{[1
]}

机构：

[1] Suzhou Univ Sci & Technol, Dept Math, Suzhou 215009, Jiangsu, Peoples R China

来源：

ADVANCES IN GEOMETRY | 2012年 / 12卷 / 02期

关键词：

Measure of asymmetry (symmetry); convex bodies; mixed volume; SYMMETRY; POLYHEDRA; STABILITY;

D O I：

10.1515/ADVGEOM.2011.052

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, the p-measures of asymmetry for convex bodies, which have the well-known Minkowski measure of asymmetry as a special case, are defined, and some properties of the p-measures are studied.

引用

页码：287 / 301

页数：15

共 25 条

[1]

[Anonymous], J LONDON MATH SOC

[2]

[Anonymous], ENCY MATH ITS APPL

[3]

[Anonymous], 1993, Handbook of convex geometry

[4]

ASPLUND E, 1962, P CAMB PHILOS SOC, V58, P217

[5]

Besicovitch AS., 1948, J LOND MATH SOC, V64, P237

[6] ON SYMMETRY OF CONVEX BODIES [J].

CHAKERIAN, GD ;

STEIN, SK .

BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1964, 70 (04) :594-&

[7] ON CRITICAL SETS OF CONVEX POLYHEDRA [J].

DZIECHCINSKAHALAMODA, Z ;

SZWIEC, W .

ARCHIV DER MATHEMATIK, 1985, 44 (05) :461-466

[8]

Eggleston H.G., 1953, JOURN LONDON MATH SO, V28, P32

[9]

Ekstrom E., 2000P7 UUDM

[10] Stability theorems for two measures of symmetry [J].

Groemer, H .

DISCRETE & COMPUTATIONAL GEOMETRY, 2000, 24 (2-3) :301-311

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