Convergence rate of hybrid sampling series associated with wavelets

  • Authors:

  • Hong-Tae Shim;Joongsung Kwon

  • Affiliations:

  • Department of Mathematics, Sun Moon University, #100 Kalsan-ri, Tangieong-myeon, Asan-si, Choongnam, 336-840, Korea;Department of Mathematics, Sun Moon University, #100 Kalsan-ri, Tangieong-myeon, Asan-si, Choongnam, 336-840, Korea

  • Venue:
  • Journal of Applied Mathematics and Computing
  • Year:
  • 1986

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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.