Localized Summability Kernels for Jacobi Expansions

DOI10.1007/978-3-319-31281-1_18zbMath1440.42014OpenAlexW2489864757MaRDI QIDQ5348516

Hrushikesh N. Mhaskar

Publication date: 18 August 2017

Published in: Mathematical Analysis, Approximation Theory and Their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-31281-1_18

zbMATH Keywords

product formulaslocalized kernelsJacobi expansionsJacobi translates

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Trigonometric approximation (42A10) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Approximation by polynomials (41A10) Summability and absolute summability of Fourier and trigonometric series (42A24)

Related Items

Local approximation of operators

Cites Work

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• Filtered Legendre expansion method for numerical differentiation at the boundary point with application to blood glucose predictions
• Polynomial operators and local smoothness classes on the unit interval
• On a filter for exponentially localized kernels based on Jacobi polynomials
• Enhanced spectral viscosity approximations for conservation laws
• Polynomial operators for spectral approximation of piecewise analytic functions
• Convergence of Spectral Methods for Nonlinear Conservation Laws
• Linearization of Products of Jacobi Polynomials.
• Orthogonal polynomials
• Jacobi Polynomials, II. An Analytic Proof of the Product Formula
• Adaptive filters for piecewise smooth spectral data*