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Mathematics of Computation

Published by the American Mathematical Society, the Mathematics of Computation (MCOM) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6842 (online) ISSN 0025-5718 (print)

The 2020 MCQ for Mathematics of Computation is 1.98.

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Rate of convergence of discretization in Chebyshev approximation
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by C. B. Dunham and Jack Williams PDF
Math. Comp. 37 (1981), 135-139 Request permission

Abstract:

The paper treats, in a particularly simple fashion, the practical problem of the rate of convergence of discretization in real and complex Chebyshev approximation. Both linear and nonlinear approximations are discussed and, subject to certain conditions, quadratic convergence of the discretizations is obtained along with an explicit rate constant which can be estimated numerically.
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Additional Information
  • © Copyright 1981 American Mathematical Society
  • Journal: Math. Comp. 37 (1981), 135-139
  • MSC: Primary 41A25; Secondary 30E10, 41A50, 65D15
  • DOI: https://doi.org/10.1090/S0025-5718-1981-0616366-X
  • MathSciNet review: 616366