Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
권호 표지

CONVERGENCE RATE OF HYBRID SAMPLING SERIES ASSOCIATED WITH WAVELETS

  • Published : 2004.01.01

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Abstract

While the convergence of the classical Fourier series has been well known, the rate of its convergence is not well acknowledged. The results regarding the rate of convergence of the Fourier series and wavelet expansions can be found in the book of Walter[5]. In this paper, we give the rate of convergence of hybrid sampling series associated with orthogonal wavelets.

Keywords

References

  1. Ten Lectrues on Wavelets I. Daubechies
  2. Fourier Analysis and Boundary Value problems Enrigue A. Gonzalez-Velasco
  3. Proc. IRE v.37 Communications in the presence of noise C. E. Shannon
  4. J. Appl. Math & Computing v.12 Hybrid sampling series associated with orthogonal wavelets and Gibbs' phenomenon H. T. Shim;G. G. Walter
  5. Wavelets and Other Orthogonal Systems with Applications G. G. Walter
  6. Trigonometric Series(I) A. Zygmund