Error of truncated Chebyshev series and other near minimax polynomial approximations

DOI10.1016/0021-9045(87)90065-7zbMath0623.41004OpenAlexW2019491495MaRDI QIDQ1091548

D. F. Paget, David L. Elliott, Peter J. Taylor, George M. Phillips

Publication date: 1987

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9045(87)90065-7

zbMATH Keywords

Chebyshev serieserror of minimax approximationnear minimax polynomial approximation

Mathematics Subject Classification ID

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

Related Items (7)

Error bounds for a near-minimax approximation ⋮ Lagrange type errors for truncated Jacobi series ⋮ Polynomial approximation using projections whose kernels contain the Chebyshev polynomials ⋮ Chebyshev model arithmetic for factorable functions ⋮ Near minimax polynomial approximation ⋮ Improved error bounds for near-minimax approximations ⋮ Polynomial approximation errors for functions of low-order continuity

Cites Work

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• A relation between Peano kernels and a theorem of Bernstein
• Polynomial approximation using equioscillation on the extreme points of Chebyshev polynomials
• Some new characterizations of the Chebyshev polynomials

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