Optimal Lower Generalized Logarithmic Mean Bound for the Seiffert Mean

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

doi:10.1155/2013/273653

Journal of Applied Mathematics (Jan 2013)

Optimal Lower Generalized Logarithmic Mean Bound for the Seiffert Mean

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

Affiliations

Ying-Qing Song: School of Mathematics and Computation Sciences, Hunan City University, Yiyang, Hunan 413000, China
Wei-Mao Qian: School of Distance Education, Huzhou Broadcast and TV University, Huzhou, Zhejiang 313000, China
Yun-Liang Jiang: School of Information & Engineering, Huzhou Teachers College, Huzhou, Zhejiang 313000, China
Yu-Ming Chu: School of Mathematics and Computation Sciences, Hunan City University, Yiyang, Hunan 413000, China

DOI: https://doi.org/10.1155/2013/273653
Journal volume & issue: Vol. 2013

Abstract

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We present the greatest value p such that the inequality P(a,b)>Lp(a,b) holds for all a,b>0 with a≠b, where P(a,b) and Lp(a,b) denote the Seiffert and pth generalized logarithmic means of a and b, respectively.

Published in Journal of Applied Mathematics

ISSN: 1110-757X (Print); 1687-0042 (Online)
Publisher: Wiley
Country of publisher: United Kingdom
LCC subjects: Science: Mathematics
Website: https://onlinelibrary.wiley.com/journal/4185

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