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

Sever S. Dragomir

Annales Mathematicae Silesianae (2016)

  • Volume: 30, Issue: 1, page 39-62
  • ISSN: 0860-2107

Abstract

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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.

How to cite

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Sever S. Dragomir. "Reverse Jensen’s type Trace Inequalities for Convex Functions of Selfadjoint Operators in Hilbert Spaces." Annales Mathematicae Silesianae 30.1 (2016): 39-62. <http://eudml.org/doc/286745>.

@article{SeverS2016,
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.},
author = {Sever S. Dragomir},
journal = {Annales Mathematicae Silesianae},
keywords = {trace class operators; Hilbert-Schmidt operators; trace; convex functions; Jensen’s inequality; trace inequalities for matrices},
language = {eng},
number = {1},
pages = {39-62},
title = {Reverse Jensen’s type Trace Inequalities for Convex Functions of Selfadjoint Operators in Hilbert Spaces},
url = {http://eudml.org/doc/286745},
volume = {30},
year = {2016},
}

TY - JOUR
AU - Sever S. Dragomir
TI - Reverse Jensen’s type Trace Inequalities for Convex Functions of Selfadjoint Operators in Hilbert Spaces
JO - Annales Mathematicae Silesianae
PY - 2016
VL - 30
IS - 1
SP - 39
EP - 62
AB - 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.
LA - eng
KW - trace class operators; Hilbert-Schmidt operators; trace; convex functions; Jensen’s inequality; trace inequalities for matrices
UR - http://eudml.org/doc/286745
ER -

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