APPROXIMATION OF CONVEX-BODIES BY RECTANGLES

被引：19

作者：

LASSAK, M ^{[1
]}

机构：

[1] ACAD TECHNOL & AGR BYDGOSZCZ,INST MATH & PHYS,PL-85790 BYDGOSZCZ,POLAND

来源：

GEOMETRIAE DEDICATA | 1993年 / 47卷 / 01期

关键词：

D O I：

10.1007/BF01263495

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For every plane convex body there is a pair of inscribed and circumscribed homothetic rectangles. The positive ratio of homothety is not greater than 2.

引用

页码：111 / 117

页数：7

共 50 条

[1] APPROXIMATION OF CONVEX-BODIES BY TRIANGLES
LASSAK, M
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1992, 115 (01) : 207 - 210
[2] APPROXIMATION OF CONVEX-BODIES BY POLYTOPES
SCHNEIDER, R
WIEACKER, JA
BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 1981, 13 (MAR) : 149 - 156
[3] APPROXIMATION OF CONVEX-BODIES BY POLYTOPES
GRUBER, PM
DOKLADI NA BOLGARSKATA AKADEMIYA NA NAUKITE, 1981, 34 (05): : 621 - 622
[4] STOCHASTICAL APPROXIMATION OF CONVEX-BODIES
BUCHTA, C
MULLER, J
TICHY, RF
MATHEMATISCHE ANNALEN, 1985, 271 (02) : 225 - 235
[5] APPROXIMATION OF CONVEX-BODIES BY SIMPLICES
NOVOTNY, P
GEOMETRIAE DEDICATA, 1994, 50 (01) : 53 - 55
[6] POLYHEDRAL APPROXIMATION OF SMOOTH CONVEX-BODIES
SCHNEIDER, R
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1987, 128 (02) : 470 - 474
[7] APPROXIMATION OF PLANE CONVEX-BODIES BY CENTRALLY SYMMETRIC BODIES
LASSAK, M
JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 1989, 40 : 369 - 377
[8] APPROXIMATION OF CONVEX-BODIES FROM CHORD FUNCTIONS
ZUCCHERI, L
GEOMETRIAE DEDICATA, 1988, 27 (03) : 335 - 348
[9] STEP BY STEP APPROXIMATION OF PLANE CONVEX-BODIES
MULLER, JS
ARCHIV DER MATHEMATIK, 1992, 58 (06) : 606 - 610
[10] VOLUME APPROXIMATION OF CONVEX-BODIES BY INSCRIBED POLYTOPES
GRUBER, PM
MATHEMATISCHE ANNALEN, 1988, 281 (02) : 229 - 245

← 1 2 3 4 5 →