Sharp inequalities for the Neuman-Sandor mean in terms of arithmetic and contra-harmonic means

In this paper, we find the greatest values \(\alpha\) and \(\lambda\), and the least values \(\beta\) and \(\mu\) such that the double inequalities \[C^{\alpha}(a,b)A^{1-\alpha}(a,b)<M(a,b)<C^{\beta}(a,b)A^{1-\beta}(a,b)\] and \begin{align*} &[C(a,b)/6+5 A(a,b)/6]^{\lambda }\left[C^{1/6...

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Bibliographic Details
Main Authors: Yu-Ming Chu, Miao-Kun Wang, Bao-Yu Liu
Format: Article
Language:English
Published: Publishing House of the Romanian Academy 2013-08-01
Series:Journal of Numerical Analysis and Approximation Theory
Subjects:
Online Access:https://ictp.acad.ro/jnaat/journal/article/view/987