Title of article :
ERROR BOUNDS IN APPROXIMATING n-TIME DIFFERENTIABLE FUNCTIONS OF SELF-ADJOINT OPERATORS IN HILBERT SPACES VIA A TAYLOR’S TYPE EXPANSION
Author/Authors :
Dragomir, S. S. Victoria University - School of Engineering Science, Australia , Dragomir, S. S. University of the Witwatersrand - School of Computational and Applied Mathematics, South Africa
Abstract :
On utilizing the spectral representation of self-adjoint operators in Hilbert spaces, some error bounds in approximating n-time differentiable functions of self-adjoint 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
Journal title :
Bulletin of the Iranian Mathematical Society
Journal title :
Bulletin of the Iranian Mathematical Society
