<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

Publié en ligne: 23 sept. 2016

Pages: 39 - 62

Reçu: 22 mars 2016

Accepté: 14 mai 2016

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

Mots clés
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

Publié en ligne: 23 sept. 2016

Pages: 39 - 62

Reçu: 22 mars 2016

Accepté: 14 mai 2016

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

Mots cléstrace 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.

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