Polynomial approximation using equioscillation on the extreme points of Chebyshev polynomials

DOI10.1016/0021-9045(82)90044-2zbMath0501.41004OpenAlexW2076267124MaRDI QIDQ1172216

Peter J. Taylor, George M. Phillips

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1016/0021-9045(82)90044-2

zbMATH Keywords

projectionLebesgue constantsequioscillationminimax polynomial approximation

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Interpolation in approximation theory (41A05) Approximation by polynomials (41A10)

Related Items (10)

Error bounds for a near-minimax approximation ⋮ Alternating trigonometric polynomials ⋮ Error of truncated Chebyshev series and other near minimax polynomial approximations ⋮ Polynomial approximation using projections whose kernels contain the Chebyshev polynomials ⋮ Alternating polynomials associated with the Chebyshev-extrema nodes ⋮ Near minimax polynomial approximation ⋮ Improved error bounds for near-minimax approximations ⋮ Error estimates for least squares approximation by polynomials ⋮ Unnamed Item ⋮ Polynomial approximation errors for functions of low-order continuity

Cites Work

• Unnamed Item
• Some new characterizations of the Chebyshev polynomials
• On a certain class of Lebesgue constants
• A Survey of Methods of Computing Minimax and Near-Minimax Polynomial Approximations for Functions of a Single Independent Variable

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