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  • P-ISSN1226-0657
  • E-ISSN2287-6081
  • KCI

ISSN : 1226-0657

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Vol.12 No.4

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Novel Method for Constructing New Wavelet Analysis

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
2005, v.12 no.4, pp.237-251
LIN YINGZHEN
CUI MINCGEN
LIN, Y. , & CUI, M. (2005). Novel Method for Constructing New Wavelet Analysis. Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 12(4), 237-251.

Abstract

In this paper, a new wavelet analysis of differential operator spline is generated, and it is of the symmetry and (3 -<TEX>$\epsilon$</TEX> )-order regula.ity (0 < <TEX>$\epsilon$</TEX> < 3). Finally, using this wavelet basis, we expand Lebesgue square integrable functions efficiently and quickly.

keywords
differential operator spline, wavelet, multiresolution analysis

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics

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