Orthogonal polynomials, biorthogonal polynomials and spline functions

DOI10.1016/j.acha.2020.01.001zbMath1460.41004OpenAlexW3001430137MaRDI QIDQ2659755

Yanyan Li

Publication date: 26 March 2021

Published in: Applied and Computational Harmonic Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.acha.2020.01.001

zbMATH Keywords

orthogonal polynomialsrefinable functionsgeneralized Rodrigues formulauniform \(B\)-splinesgeneralized generating functionsbiorthogonal polynomials and spline functionsnonuniform \(B\)-splines

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Spline approximation (41A15) Series expansions (e.g., Taylor, Lidstone series, but not Fourier series) (41A58) Approximation by other special function classes (41A30)

Related Items (2)

Fourier-Laplace transforms and orthogonal polynomials ⋮ Hypergeometric fractional derivatives formula of shifted Chebyshev polynomials: tau algorithm for a type of fractional delay differential equations

Uses Software

• DLMF

Cites Work

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• Spline approximation operators of Bernstein-Schoenberg type in one and two variables
• Notes on spline functions. V: Orthogonal or Legendre splines
• A practical guide to splines
• Appell sequences, continuous wavelet transforms and series expansions
• An identity for spline functions with applications to variation diminishing spline approximation
• On Compactly Supported Spline Wavelets and a Duality Principle
• Hyperasymptotic expansions of confluent hypergeometric functions

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