ON THE DEGREE OF APPROXIMATION BY WAVELET EXPANSIONS

Sun Sun, Xiehua · Acta Scientiarum Naturalium Universitatis Sunyatseni · 1998

In this paper we estimate the degree of approximation of wavelet expansions. Our result shows that the degree has the exponential decay for function f(x) ∈ L2 continuous in a finite interval (a,b) which is much superior to those of approximation by polynomial operators and by expansions of classical orthogonal series.

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