Upper and lower bounds for the difference between the weighted arithmetic and harmonic operator means

In this paper we establish some new upper and lower bounds for the difference between the 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 we...

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Bibliographic Details
Main Author: Sever Dragomir
Format: Article
Language:English
Published: University of Extremadura 2019-06-01
Series:Extracta Mathematicae
Subjects:
Online Access:https://publicaciones.unex.es/index.php/EM/article/view/68
Description
Summary:In this paper we establish some new upper and lower bounds for the difference between the 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.
ISSN:0213-8743
2605-5686