E. Neuman, “Optimal bounds for certain bivariate means”, Probl. Anal. Issues Anal., 2014, Volume 3(21), Issue 1,Pages <nobr>35

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Optimal bounds for certain bivariate means

E. Neuman

Mathematical Research Institute, 144 Hawthorn Hollow, Carbondale, IL 62903, USA

Abstract: New bivariate means, introduced and investigated in [1], play a central role in this work. The lower and upper bounds for those means are obtained. Bounding quantities are the one-parameter means derived from the harmonic and contraharmonic means by forming convex combinations of the variables of these two means.

Keywords: Bivariate means, one-parameter means, optimal bounds, inequalities.

MSC: 26E60, 26D07

Received: 12.12.2013

Language: English

DOI: 10.15393/j3.art.2014.2361