IJPAM: Volume 81, No. 2 (2012)
SOME CONVEX COMBINATION BOUNDS FOR
ARITHMETIC AND THE SECOND SEIFFERT MEANS
ARITHMETIC AND THE SECOND SEIFFERT MEANS
Gao Hongya
, Qin Yanli
, Fang Jian
College of Mathematics and Computer Science
Hebei University
Baoding, 071002, P.R. CHINA
Department of Mathematics and Computer Science
Hebei Normal College for Nationalities
Chengde, 067000, P.R. CHINA




Hebei University
Baoding, 071002, P.R. CHINA

Hebei Normal College for Nationalities
Chengde, 067000, P.R. CHINA
Abstract. We find the greatest value and the least value
such that the double inequality

holds for all





holds for all








Received: June 28, 2011
AMS Subject Classification: 26D15
Key Words and Phrases: convex combination bound, arithmetic mean, contraharmonic mean, square-root mean, the second Seiffert mean
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Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2012
Volume: 81
Issue: 2