Multiwavelets of the third-degree Hermitian splines orthogonal to cubic polynomials

DOI10.1134/S2070048213060100zbMath1356.42027MaRDI QIDQ2961142

B. M. Shumilov

Publication date: 17 February 2017

Published in: Mathematical Models and Computer Simulations (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/mm3349

zbMATH Keywords

multiwaveletsorthogonality to polynomialsHermitian splines of the third degree

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Spline approximation (41A15)

Related Items (2)

Splitting algorithm for cubic spline-wavelets with two vanishing moments on the interval ⋮ Sparse wavelet representation of differential operators with piecewise polynomial coefficients

Cites Work

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• Discrete multiresolution based on Hermite interpolation: computing derivatives.
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• Approximation by translates of refinable functions
• Wavelet bases of Hermite cubic splines on the interval
• Discrete Multiresolution Analysis Using Hermite Interpolation: Biorthogonal Multiwavelets
• Ten Lectures on Wavelets
• Approximation properties and construction of Hermite interpolants and biorthogonal multiwavelets
• Non-orthogonal spline wavelets for boundary element analysis

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