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...
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 |
Similar Items
-
Sharp inequalities for the Neuman-Sandor mean in terms of arithmetic and contra-harmonic means
by: Yu-Ming Chu, et al.
Published: (2013-08-01) -
Sharp inequalities for the Neuman-Sandor mean in terms of arithmetic and contra-harmonic means
by: Yu-Ming Chu, et al.
Published: (2013-08-01) -
An optimal double inequality among the one-parameter, arithmetic and harmonic means
by: Wang Miao-Kun, et al.
Published: (2010-08-01) -
An optimal double inequality among the one-parameter, arithmetic and harmonic means
by: Wang Miao-Kun, et al.
Published: (2010-08-01) -
Optimal inequalities related to the logarithmic, identric, arithmetic and harmonic means
by: Wei-feng Xia, et al.
Published: (2010-08-01)