Journal of Applied Mathematics

Optimal Lower Generalized Logarithmic Mean Bound for the Seiffert Mean

Ying-Qing Song, Wei-Mao Qian, Yun-Liang Jiang, and Yu-Ming Chu

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Abstract

We present the greatest value p such that the inequality P(a,b)>Lp(a,b) holds for all a,b>0 with ab, where P(a,b) and Lp(a,b) denote the Seiffert and pth 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

Permanent link to this document
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


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