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Near-best \(L_1\) approximations on circular and elliptical contours

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Publication:1134320
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DOI10.1016/0021-9045(78)90018-7zbMath0423.41023OpenAlexW2045850264MaRDI QIDQ1134320

John C. Mason

Publication date: 1978

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

Full work available at URL: https://doi.org/10.1016/0021-9045(78)90018-7


zbMATH Keywords

Chebyshev polynomialsorthogonal polynomialsnear-best L1 approximations


Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Approximation by polynomials (41A10) Series expansions (e.g., Taylor, Lidstone series, but not Fourier series) (41A58)


Related Items (1)

Near-best approximate solutions for a class of elliptic partial differential equations



Cites Work

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  • A method for numerical integration on an automatic computer
  • Best and near-best \(L_ 1\) approximations by Fourier series and Chebyshev series
  • Near-Minimax Polynomial Approximation in an Elliptical Region
  • A Unified Approach to Certain Problems of Approximation and Minimization
  • Linear Chebyshev Approximation of Complex-Valued Functions


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