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.

引用

页数：11

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