Inequalities for the perimeter of an ellipse

被引:44
作者
Barnard, RW [1 ]
Pearce, K [1 ]
Schovanec, L [1 ]
机构
[1] Texas Tech Univ, Dept Math & Stat, Lubbock, TX 79409 USA
关键词
D O I
10.1006/jmaa.2000.7128
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
[No abstract available]
引用
收藏
页码:295 / 306
页数:12
相关论文
共 7 条
[1]   GAUSS, LANDEN, RAMANUJAN, THE ARITHMETIC-GEOMETRIC MEAN, ELLIPSES, PI, AND THE LADIES-DIARY [J].
ALMKVIST, G ;
BERNDT, B .
AMERICAN MATHEMATICAL MONTHLY, 1988, 95 (07) :585-608
[2]   A monotonicity property involving 3F2 and comparisons of the classical approximations of elliptical arc length [J].
Barnard, RW ;
Pearce, K ;
Richards, KC .
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2000, 32 (02) :403-419
[3]  
BERNDT B. C., 1985, RAMANUJANS NOTEBOO 3
[4]   The logical structure of computer-aided mathematical reasoning [J].
Devlin, K .
AMERICAN MATHEMATICAL MONTHLY, 1997, 104 (07) :632-646
[5]  
HENRICI P, 1974, APPL COMPUTATIONAL C
[6]  
Vuorinen M., 1998, P SPEC FUNCT DIFF EQ
[7]  
YOUNG DM, 1973, SURVEY NUMERICAL MAT