OPTIMAL BOUNDS FOR CERTAIN BIVARIATE MEANS

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.