[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/CKMS.c180062

ON A CLASS OF BIVARIATE MEANS INCLUDING A LOT OF OLD AND NEW MEANS

Raissouli, Mustapha (Department of Mathematics Science Faculty Taibah University)
Rezgui, Anis (Department of Mathematics Science Faculty Taibah University)

Publication Information

Communications of the Korean Mathematical Society / v.34, no.1, 2019 , pp. 239-251 More about this Journal

Abstract

In this paper we introduce a new formulation of symmetric homogeneous bivariate means that depends on the variation of a given continuous strictly increasing function on (0, ${\infty}$ ). It turns out that this class of means includes a lot of known bivariate means among them the arithmetic mean, the harmonic mean, the geometric mean, the logarithmic mean as well as the first and second Seiffert means. Using this new formulation we introduce a lot of new bivariate means and derive some mean-inequalities.

Keywords

bivariate mean; functional equation; mean-inequalities;

Citations & Related Records

Reference

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