Multiplicative inequalities for weighted arithmetic and harmonic operator means

Acta Universitatis Sapientiae: Mathematica

Dragomir Sever S.¹ 

[1] Mathematics, College of Engineering & ScienceVictoria University, Melbourne City, Australia;

关键词: young’s inequality;    convex functions;    arithmetic mean-harmonic mean inequality;    operator means;    operator inequalities;    47a63;    47a30;    15a60;    26d15;    26d10;   

DOI  :  10.2478/ausm-2019-0005

来源: DOAJ

【 摘 要 】

In this paper we establish some multiplicative inequalities for weighted arithmetic and harmonic operator means under various assumption for the positive invertible operators A, B. Some applications when A, B are bounded above and below by positive constants are given as well.

【 授权许可】

Unknown