The harmonic and geometric means are Bernstein functions

Qi, F; Zhang, XJ; Li, WH

Qi, F (reprint author), Henan Polytech Univ, Inst Math & Informat, Jiaozuo 454010, Henan, Peoples R China.; Qi, F (reprint author), Inner Mongolia Univ Nationalities, Coll Math, Tongliao 028043, Inner Mongolia, Peoples R China.; Qi, F (reprint author), Ti

BOLETIN DE LA SOCIEDAD MATEMATICA MEXICANA, 2017; 23 (2): 713

Abstract

In the paper, the authors present by several approaches that both the harmonic mean and the geometric mean of two positive numbers are Bernstein funct......

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