Abstract and Applied Analysis
Volume 2011 (2011), Article ID 941286, 13 pages
http://dx.doi.org/10.1155/2011/941286
Research Article

Some Trapezoidal Vector Inequalities for Continuous Functions of Selfadjoint Operators in Hilbert Spaces

S. S. Dragomir1,2

1Mathematics, School of Engineering Science, Victoria University, P.O. Box 14428, Melbourne City, VIC 8001, Australia
2School of Computational Applied Mathematics, University of the Witwatersrand, Private Bag 3, Johannesburg 2050, South Africa

Received 24 November 2010; Accepted 31 March 2011

Academic Editor: Ferhan M. Atici

Copyright © 2011 S. S. Dragomir. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

On utilising the spectral representation of selfadjoint operators in Hilbert spaces, some trapezoidal inequalities for various classes of continuous functions of such operators are given.