Convergence of Wavelet Expansions at Generalized Continuous Points

Shu Gai Zhao; Gen Tian

doi:10.4028/www.scientific.net/AMR.834-836.1828

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HomeAdvanced Materials ResearchAdvanced Materials Research Vols. 834-836Convergence of Wavelet Expansions at Generalized...

Convergence of Wavelet Expansions at Generalized Continuous Points

Abstract:

Convergence of wavelet expansions of a function f at generalized continuous points is discussed. By approximation method, its proved that the wavelet expansions of f converge to the mean value of the left and the right limits of f at a generalized continuous point. As an application, the result that the wavelet expansions of a function f converge at a continuous point is generalized.

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Periodical:

Advanced Materials Research (Volumes 834-836)

Pages:

1828-1831

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.834-836.1828

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Online since:

October 2013

Authors:

Shu Gai Zhao, Gen Tian

Keywords:

Continuous Point, Convergence, Generalized Continuous Point, Wavelet Expansion

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