Aequationes mathematicae

, Volume 87, Issue 3, pp 325–335

On generalized Seiffert means

Article

DOI: 10.1007/s00010-013-0191-0

Cite this article as:
Neuman, E. Aequat. Math. (2014) 87: 325. doi:10.1007/s00010-013-0191-0

Abstract

Generalizations of two Seiffert means, usually denoted by P and T, are defined and investigated. The means under discussion are symmetric and homogeneous of degree one in each variable. Computable lower and upper bounds for the new means are also established. Several inequalities involving means discussed in this paper are obtained. In particular, two Wilker’s type inequalities involving those means are derived.

Mathematics Subject Classification (2000)

Primary 26E60Secondary 33E0526D07

Keywords

Seiffert meansSchwab–Borchardt meancompletely symmetric elliptic integralWilker’s type inequalities

Copyright information

© Springer Basel 2013

Authors and Affiliations

  1. 1.Department of MathematicsSouthern Illinois UniversityCarbondaleUSA