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

• Autorzy: Sever S. Dragomir
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

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

Kategorie tematyczne

• 47A63: Operator inequalities
• 47A99: None of the above, but in this section

• Wydawca: De Gruyter Open
• Czasopismo: Annales Mathematicae Silesianae
• Rocznik: 2016
• Tom: 30
• Numer: 1
• Strony: 39-62

Daty

wydano

2016-09-01

otrzymano

2016-03-22

poprawiono

2016-05-03

zaakceptowano

2016-05-14

online

2016-09-23

Twórcy

autor

Sever S. Dragomir

• 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,

Identyfikatory

DOI

10.1515/amsil-2016-0005