Convergence of a Class of Nonorthogonal Wavelet

Shu Gai Zhao

doi:10.4028/www.scientific.net/AMR.605-607.2253

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HomeAdvanced Materials ResearchAdvanced Materials Research Vols. 605-607Convergence of a Class of Nonorthogonal Wavelet

Convergence of a Class of Nonorthogonal Wavelet

Abstract:

Convergence of a class of nonorthogonal wavelet is researched. Starting from a Riesz basis which is generated by a scale function, a class of nonorthogonal wavelet expansions are constructed. Remainders of the wavelet expansions are analyzed and estimated. Then convergence and convergence rate of the wavelet expansions in norm are obtained.

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Periodical:

Advanced Materials Research (Volumes 605-607)

Pages:

2253-2256

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.605-607.2253

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Online since:

December 2012

Authors:

Shu Gai Zhao

Keywords:

Convergence, Multiresolution Analysis, Nonorthogonal Wavelet, Scale Funtion

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References

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