Multiplicative inequalities for weighted arithmetic and harmonic operator means

Multiplicative inequalities for weighted arithmetic and harmonic operator means

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.

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Veröffentlicht in:Acta universitatis sapientiae. Mathematica 2019-08, Vol.11 (1), p.54-65
1. Verfasser: Dragomir, Sever S.
Format: Artikel
Sprache:eng
Schlagworte:
15a60
26d10
26d15
47a30
47a63
arithmetic mean-harmonic mean inequality
convex functions
operator inequalities
operator means
young’s inequality
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Beschreibung
Zusammenfassung: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.
ISSN:2066-7752
2066-7752
DOI:10.2478/ausm-2019-0005