Nonstationary refinable functions based on generalized Bernstein polynomials (Q2792568)
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scientific article; zbMATH DE number 6554756
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Nonstationary refinable functions based on generalized Bernstein polynomials |
scientific article; zbMATH DE number 6554756 |
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11 March 2016
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generalized Bernstein polynomials
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wavelets
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frames
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nonstationary refinable functions
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compactly supported functions
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convergence
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0.9265331
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0.8682324
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0.8681186
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0.8681186
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Nonstationary refinable functions based on generalized Bernstein polynomials (English)
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This paper is concerned with the study of symmetric nonstationary compactly supported wavelet frames in \(L_{2}(\mathbb R)\). A family of nonstationary refinable functions from generalized Bernstein polynomials is introduced. The family of masks for the pseudo-splines is used. The existence of \(L_{2}\)-solutions of nonstationary refinable functions from the new extensive function is implemented. Symmetric compactly supported nonstationary tight wavelet frames in \(L_{2}(\mathbb R)\) with the spectral frame approximation order are constructed. The convergence of nonstationary cascade algorithms of the family of nonstationary refinable functions is proved.
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