Optimal pointwise error estimates for piecewise functions expanded with Laguerre polynomials

DOI10.1016/J.CAM.2023.115749MaRDI QIDQ6489260

Yali Zhang, Shuhuang Xiang, Desong Kong

Publication date: 19 April 2024

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

Laguerre polynomials

Mathematics Subject Classification ID

Approximation by polynomials (41A10) Rate of convergence, degree of approximation (41A25)

Cites Work

• Asymptotics on Laguerre or Hermite polynomial expansions and their applications in Gauss quadrature
• High-performance modeling acoustic and elastic waves using the parallel dichotomy algorithm
• Optimal error estimates for Legendre expansions of singular functions with fractional derivatives of bounded variation
• Numerical analysis of a fast integration method for highly oscillatory functions
• Spectral Laguerre method for the approximate solution of time dependent problems
• Pointwise error estimate of the Legendre expansion: the known and unknown features
• Convergence Rates on Spectral Orthogonal Projection Approximation for Functions of Algebraic and Logarithmatic Regularities
• Pointwise error estimates and local superconvergence of Jacobi expansions
• Analysis of Error Localization of Chebyshev Spectral Approximations
• On optimal convergence rates of Laguerre polynomial expansions for piecewise functions

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