Optimal Lower Generalized Logarithmic Mean Bound for the Seiffert Mean
نویسندگان
چکیده
Ying-Qing Song, Wei-Mao Qian, Yun-Liang Jiang, and Yu-Ming Chu 1 School of Mathematics and Computation Sciences, Hunan City University, Yiyang, Hunan 413000, China 2 School of Distance Education, Huzhou Broadcast and TV University, Huzhou, Zhejiang 313000, China 3 School of Information & Engineering, Huzhou Teachers College, Huzhou, Zhejiang 313000, China Correspondence should be addressed to Yun-Liang Jiang; [email protected] Received 23 December 2012; Accepted 26 February 2013 Academic Editor: Francisco J. Marcellán Copyright © 2013 Ying-Qing Song et al.This is an open access article distributed under theCreative CommonsAttribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. We present the greatest value p such that the inequalityP(a, b) > Lp(a, b) holds for all a, b > 0with a ̸ = b, where P(a, b) and Lp(a, b) denote the Seiffert and pth generalized logarithmic means of a and b, respectively.
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عنوان ژورنال:
- J. Applied Mathematics
دوره 2013 شماره
صفحات -
تاریخ انتشار 2013