Open AccessAdditive inequalities for weighted harmonic and arithmetic operator means
Author(s) -
Sever S Dragomir
Publication year - 2019
Publication title -
annales universitatis mariae curie-skłodowska. sectio a, mathematica
Language(s) - English
Resource type - Journals
eISSN - 2083-7402
pISSN - 0365-1029
DOI - 10.17951/a.2019.73.1.1-17
Subject(s) - mathematics , invertible matrix , bounded function , harmonic mean , arithmetic , operator (biology) , harmonic , multiplication operator , pure mathematics , algebra over a field , mathematical analysis , statistics , biochemistry , chemistry , physics , repressor , quantum mechanics , hilbert space , transcription factor , gene
In this paper we establish some new upper and lower bounds for the difference between the weighted arithmetic and harmonic operator means under various assumptions for the positive invertible operators A, B. Some applications when A, B are bounded above and below by positive constants are given as well.