Original scientific paper

Seiffert means, asymptotic expansions and related inequalites

Lenka Vukšić ; Faculty of Electrical Engineering and Computing, University of Zagreb, Unska 3, 10000 Zagreb, Croatia

Abstract

In this paper we study inequalities of the form

(1 - μ) M1(s, t) + μ M3(s, t) ≤ M2(s, t) ≤ (1 - ν) M1(s, t) + ν M3(s, t),
which cover some classical bivariate means and Seiffert means. Using techniques of asymptotic expansions detailed analysis was made and the method for obtaining optimal parameters μ and ν was described.

Keywords

Seiffert means; asymptotic expansion; optimal convex combination

Hrčak ID:

145100

URI

https://hrcak.srce.hr/145100

Publication date:

16.9.2015.

Visits: 1.250 *