Academic Editor: Paolo E. Ricci
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.
On utilizing the spectral representation of self-adjoint operators in
Hilbert spaces, some inequalities for the composite operator , where and for various classes of continuous functions are given. Applications for the power function and the logarithmic
function are also provided.