IJPAM: Volume 80, No. 1 (2012)
LOGARITHMIC, IDENTRIC AND POWER MEANS
School of Mathematics Science
Hefei, Anhui, 230039, P.R. CHINA
Department of Mathematics
Huzhou Teachers College
Huzhou, Zhejiang, 313000, P.R. CHINA
Abstract. In this paper, we present the best possible power mean bounds for the generalized logarithmic mean, and find the optimal lower generalized logarithmic mean bound for the identric mean.
Received: April 29, 2012
AMS Subject Classification: 26E60
Key Words and Phrases: generalized logarithmic mean, identric mean, power mean
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Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395