Bulletin of the Iranian Mathematical Society

Bulletin of the Iranian Mathematical Society

Error bounds in approximating n-time differentiable functions of self-adjoint operators in Hilbert spaces via a Taylor's type expansion

Document Type : Research Paper

Author
Mathematics, School of Engineering & Science, Victoria University, PO Box 14428, Melbourne, Australia
Abstract
On utilizing the spectral representation of selfadjoint operators in Hilbert
spaces, some error bounds in approximating $n$-time differentiable functions
of selfadjoint operators in Hilbert Spaces via a Taylor's type expansion are
given.
Keywords
Subjects

Volume 38, Issue 3 - Serial Number 3
September 2012
Pages 827-842

  • Receive Date 22 November 2010
  • Revise Date 27 April 2011
  • Accept Date 27 April 2011