Polynomial approximation errors for functions of low-order continuity

DOI10.1007/BF01888164zbMath0733.41013OpenAlexW2031207853MaRDI QIDQ809284

Peter J. Taylor, David L. Elliott

Publication date: 1991

Published in: Constructive Approximation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01888164

zbMATH Keywords

Chebyshev seriesdivided differencesMinimax error

Mathematics Subject Classification ID

Trigonometric interpolation (42A15) Best approximation, Chebyshev systems (41A50) Approximation by polynomials (41A10) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16)

Related Items (2)

Error bounds for a near-minimax approximation ⋮ Improved error bounds for near-minimax approximations

Cites Work

• Unnamed Item
• Error estimates for least squares approximation by polynomials
• Error of truncated Chebyshev series and other near minimax polynomial approximations
• Polynomial approximation using equioscillation on the extreme points of Chebyshev polynomials
• A Chebyshev series method for the numerical solution of Fredholm integral equations

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