Bilateral inequalities for means

Let \(\left(M_{1},M_{2},M_{3}\right) \) be three means in two variables chosen from \(H\), \(G\), \(L\), \(I\), \(A\), \(Q\), \(S\), \(C\) so that \[ M_{1}(a,b)<M_{2}(a,b)<M_{3}(a,b),\quad 0<a<b. \] We consider the problem of finding \(\alpha,\ \beta\in\mathbb{R}\) for which \[ \al...

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Bibliographic Details
Main Authors: Mira-Cristiana Anisiu, Valeriu Anisiu
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/985