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Methods of selection of initial function for solving a difference equation by an iterative algorithm (Q2745496)

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scientific article; zbMATH DE number 1654764
Language Label Description Also known as
English
Methods of selection of initial function for solving a difference equation by an iterative algorithm
scientific article; zbMATH DE number 1654764

    Statements

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    26 February 2002
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    multiresolution analysis
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    wavelets
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    difference equation
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    initial function
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    iterative algorithm
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    Methods of selection of initial function for solving a difference equation by an iterative algorithm (English)
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    Summry: A difference equation as \(f(x)=\sum c_nf(2x-n)\) is investigated. Methods to select an initial function for solving the difference equation by using iterative algorithm are given. The main results in this paper improve and extend the corresponding results of \textit{I. Daubechies} and \textit{J. C. Lagarias} [SIAM J. Math. Anal. 22, No.~5, 1388-1410 (1991; Zbl 0763.42018); ibid. 23, No.~4, 1031-1079 (1992; Zbl 0788.42013)].
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