Hyperbolic Wavelet Approximation

@inproceedings{DeVore1998HyperbolicWA,
  title={Hyperbolic Wavelet Approximation},
  author={Ronald A. DeVore and Sergei Konyagin and Vladimir N. Temlyakov},
  year={1998}
}
We study the multivariate approximation by certain partial sums (hyperbolic wavelet sums) of wavelet bases formed by tensor products of univariate wavelets. We characterize spaces of functions which have a prescribed approximation error by hyperbolic wavelet sums in terms of a K -functional and interpolation spaces. The results parallel those for hyperbolic trigonometric cross approximation of periodic functions [DPT]. 
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SHOWING 1-10 OF 15 REFERENCES

AMONT (1996):On hyperbolic summation and hyperbolic moduli of smoothness

  • A K
  • 1996
1 Excerpt

TEMLYAKOV (1994):Multivariate trigonometric approximation with frequencies from the hyperpolic cross

  • R. DEVORE, V. P. PETRUSHEV
  • 1994

On the construction of multivariate ( pre ) wavelets

  • J. Z. WANG
  • Const . Approx .
  • 1993

RON (1993):On the construction of multivariate

  • BDR C. DE BOOR, A.R.A. DEVORE
  • 1993

Biorthogonal bases of compactly supported

  • A. COHEN, I. DAUBECHIES, J.-C
  • FEAUVEAU
  • 1992

POPOV(1992):Compression of wavelet decompositions

  • R. DEVORE, V. B. JAWERTH
  • 1992

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