Inequalities between Arithmetic-Geometric, Gini, and Toader Means

We find the greatest values p1, p2 and least values q1, q2 such that the double inequalities Sp1(a,b)<M(a,b)<Sq1(a,b) and Sp2(a,b)<T(a,b)<Sq2(a,b) hold for all a,b>0 with a≠b and present some new bounds for the complete elliptic integrals. Here M(a,b), T(a,b), and Sp(a,b) are the arit...

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Bibliographic Details
Main Authors: Yu-Ming Chu, Miao-Kun Wang
Format: Article
Language:English
Published: Wiley 2012-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2012/830585
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