<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

Published Online: Aug 17, 2019

Page range: 54 - 65

Received: Oct 11, 2018

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

Keywords
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

Published Online: Aug 17, 2019

Page range: 54 - 65

Received: Oct 11, 2018

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

KeywordsYoung’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.

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