An approximation formula in Hilbert space (with Z. Zhang), in
Recent Advances in Computational Sciences (P. Jorgensen, X. Shen, C.-W. Shu, and N. Yan eds.), pp. 218-227, World Scientific, 2008.
Abstract
Let { φk }k ∈ N be a frame for
Hilbert space H.
The purpose of this paper is to present an approximation formula for
any f in H by a linear combination of finitely many frame
elements in the frame { φk }k ∈ N
and show that the obtained approximation error depends on the bounds of frame
and the convergence rate of frame coefficients of f as well as the
relation among the frame elements.
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Get the official version via doi:10.1142/9789812792389_0012.
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