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

Article 58, Volume 38, Number 3, September 2012, Page 827-842  XML PDF (110 K)
Document Type: Research Paper
Authors
Silvestru Sever Dragomir
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
Selfadjoint operators; Functions of Selfadjoint operators; Spectral representation; Inequalities for selfadjoint operators
Main Subjects
26-XX Real functions; 47-XX Operator theory
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