<abstract xmlns="http://www.w3.org/1999/xhtml"><p>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.</p></abstract>

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.

Multiplicative inequalities for weighted arithmetic and harmonic operator means

Acta Universitatis Sapientiae, Mathematica

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

{"article-title":"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...

Multiplicative inequalities for weighted arithmetic and harmonic operator means

Online veröffentlicht: 17. Aug. 2019

Seitenbereich: 54 - 65

Eingereicht: 11. Okt. 2018

DOI: https://doi.org/10.2478/ausm-2019-0005

Schlüsselwörter
Young’s inequality, convex functions, arithmetic mean-harmonic mean inequality, operator means, operator inequalities

© 2019 Sever S. Dragomir, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Multiplicative inequalities for weighted arithmetic and harmonic operator means

Online veröffentlicht: 17. Aug. 2019

Seitenbereich: 54 - 65

Eingereicht: 11. Okt. 2018

DOI: https://doi.org/10.2478/ausm-2019-0005

SchlüsselwörterYoung’s inequality, convex functions, arithmetic mean-harmonic mean inequality, operator means, operator inequalities

© 2019 Sever S. Dragomir, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Schlüsselwörter
Young’s inequality, convex functions, arithmetic mean-harmonic mean inequality, operator means, operator inequalities