Open Access Research

A best-possible double inequality between Seiffert and harmonic means

Yu-Ming Chu1*, Miao-Kun Wang1 and Zi-Kui Wang2

Author Affiliations

1 Department of Mathematics, Huzhou Teachers College, Huzhou, 313000, China

2 Department of Mathematics, Hangzhou Normal University, Hangzhou, 310012, China

For all author emails, please log on.

Journal of Inequalities and Applications 2011, 2011:94 doi:10.1186/1029-242X-2011-94

Published: 26 October 2011

Abstract

In this paper, we establish a new double inequality between the Seiffert and harmonic means.

The achieved results is inspired by the papers of Sándor (Arch. Math., 76, 34-40, 2001) and Hästö (Math. Inequal. Appl., 7, 47-53, 2004), and the methods from Wang et al. (J. Math. Inequal., 4, 581-586, 2010). The inequalities we obtained improve the existing corresponding results and, in some sense, are optimal.

2010 Mathematics Subject Classification: 26E60.

Keywords:
harmonic mean; Seiffert mean; inequality