<abstract xmlns="http://www.w3.org/1999/xhtml"><p>Some reverse Jensen’s type trace inequalities for convex functions of selfadjoint operators in Hilbert spaces are provided. Applications for some convex functions of interest and reverses of Hölder and Schwarz trace inequalities are also given.</p></abstract>

Some reverse Jensen’s type trace inequalities for convex functions of selfadjoint operators in Hilbert spaces are provided. Applications for some convex functions of interest and reverses of Hölder and Schwarz trace inequalities are also given.

Reverse Jensen’s type Trace Inequalities for Convex Functions of Selfadjoint Operators in Hilbert Spaces

Mathematics, College of Engineering & Science, Victoria University, PO Box 14428, Melbourne City, MC 8001,

School of Computer Science & Applied Mathematics, University of the Witwatersrand, Private Bag 3, Johannesburg 2050,

Annales Mathematicae Silesianae

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

Some reverse Jensen’s type trace inequalities for convex functions of selfadjoint operators in Hilbert spaces are provided. Applications for some convex...

Reverse Jensen’s type Trace Inequalities for Convex Functions of Selfadjoint Operators in Hilbert Spaces

Published Online: Sep 23, 2016

Page range: 39 - 62

Received: Mar 22, 2016

Accepted: May 14, 2016

DOI: https://doi.org/10.1515/amsil-2016-0005

Keywords
trace class operators, Hilbert-Schmidt operators, trace, convex functions, Jensen’s inequality, trace inequalities for matrices

© 2016 Sever S. Dragomir, published by De Gruyter Open

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

Reverse Jensen’s type Trace Inequalities for Convex Functions of Selfadjoint Operators in Hilbert Spaces

Published Online: Sep 23, 2016

Page range: 39 - 62

Received: Mar 22, 2016

Accepted: May 14, 2016

DOI: https://doi.org/10.1515/amsil-2016-0005

Keywordstrace class operators, Hilbert-Schmidt operators, trace, convex functions, Jensen’s inequality, trace inequalities for matrices

© 2016 Sever S. Dragomir, published by De Gruyter Open

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

Keywords
trace class operators, Hilbert-Schmidt operators, trace, convex functions, Jensen’s inequality, trace inequalities for matrices