Monotonicity theorems and inequalities for the complete elliptic integrals\

被引：184
作者：
Alzer, H [1 ]
Qiu, SL [1 ]
机构：
[1] Hangzhou Inst Elect Engn, Presidents Off, Hangzhou 310037, Zhejiang, Peoples R China
来源：
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2004年 / 172卷 / 02期
基金：
芬兰科学院;
关键词：
complete elliptic integrals; monotonicity; inequalities; mean values; Arc length of an ellipse;
D O I：
10.1016/j.cam.2004.02.009
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove monotonicity properties of certain combinations of complete elliptic integrals of the first and second kind, K and E. These results lead to sharp symmetrical bounds for K and E, which improve recently discovered inequalities. (C) 2004 Elsevier B.V. All rights reserved.
引用
收藏
页码：289 / 312
页数：24
相关论文
共 44 条
12345