Inequalities between Arithmetic-Geometric, Gini, and Toader Means

被引：43
|
作者：
Chu, Yu-Ming [1 ]
Wang, Miao-Kun [1 ]
机构：
[1] Huzhou Teachers Coll, Dept Math, Huzhou 313000, Peoples R China
来源：
ABSTRACT AND APPLIED ANALYSIS | 2012年
关键词：
COMPLETE ELLIPTIC INTEGRALS; BOUNDS;
D O I：
10.1155/2012/830585
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We find the greatest values p(1), p(2) and least values q(1), q(2) such that the double inequalities Sp(1)(a, b) < M(a, b) < Sq(1)(a, b) and Sp(2)(a, B) < T(a, b) < Sq(2)(a, b) hold for all a, b > 0 with a not equal b and present some new bounds for the complete elliptic integrals. Here M(a, b), T(a, b), and S-p(a, b) are the arithmetic-geometric, Toader, and pth Gini means of two positive numbers a and b, respectively.
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收藏
页数：11
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