IJPAM: Volume 105, No. 2 (2015)
ARITHMETIC AND CONTRAHARMONIC MEANS
Department of Mathematics
Hangzhou Normal University
Hangzhou, 311121, P.R. CHINA
Abstract. In this paper, we present the best possible parameters and with such that the double inequalities
hold for all with , as consequences, we provide several new bounds for the complete elliptic integral of the second kind, where , and are the Toader, arithmetic and contraharmonic means of and , respectively.
Received: September 20, 2015
AMS Subject Classification: 26E60
Key Words and Phrases: arithmetic mean, Toader mean, contraharmonic mean
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DOI: 10.12732/ijpam.v105i2.11 How to cite this paper?
Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Pages: 257 - 268