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 &amp; 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.

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Main Subjects

History

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