Journal of Applied Mathematics

Optimal Lower Generalized Logarithmic Mean Bound for the Seiffert Mean

Abstract

We present the greatest value $p$ such that the inequality $P\left(a,b\right)>{L}_{p}\left(a,b\right)$ holds for all $a,b>0$ with $a\ne b$, where $P\left(a,b\right)$ and ${L}_{p}\left(a,b\right)$ denote the Seiffert and $p$th generalized logarithmic means of $a$ and $b$, respectively.

Article information

Source
J. Appl. Math., Volume 2013 (2013), Article ID 273653, 5 pages.

Dates
First available in Project Euclid: 14 March 2014

https://projecteuclid.org/euclid.jam/1394807902

Digital Object Identifier
doi:10.1155/2013/273653

Mathematical Reviews number (MathSciNet)
MR3035183

Zentralblatt MATH identifier
1267.26028

Citation

Song, Ying-Qing; Qian, Wei-Mao; Jiang, Yun-Liang; Chu, Yu-Ming. Optimal Lower Generalized Logarithmic Mean Bound for the Seiffert Mean. J. Appl. Math. 2013 (2013), Article ID 273653, 5 pages. doi:10.1155/2013/273653. https://projecteuclid.org/euclid.jam/1394807902