On approximating the quasi-arithmetic mean

Abstract In this article, we prove that the double inequalities α1[7C(a,b)16+9H(a,b)16]+(1−α1)[3A(a,b)4+G(a,b)4]<E(a,b)<β1[7C(a,b)16+9H(a,b)16]+(1−β1)[3A(a,b)4+G(a,b)4],[7C(a,b)16+9H(a,b)16]α2[3A(a,b)4+G(a,b)4]1−α2<E(a,b)<[7C(a,b)16+9H(a,b)16]β2[3A(a,b)4+G(a,b)4]1−β2 $$\begin{aligned} &a...

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Bibliographic Details
Main Authors: Tie-Hong Zhao, Bu-Chuan Zhou, Miao-Kun Wang, Yu-Ming Chu
Format: Article
Language:English
Published: SpringerOpen 2019-02-01
Series:Journal of Inequalities and Applications
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13660-019-1991-0