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Mathematics of Computation

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Asymptotic expansion of the Lebesgue constants associated with polynomial interpolation

Authors: P. N. Shivakumar and R. Wong
Journal: Math. Comp. 39 (1982), 195-200
MSC: Primary 41A05; Secondary 41A60
MathSciNet review: 658223
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Abstract: An infinite asymptotic expansion is obtained for the Lebesgue constants associated with the polynomial interpolation at the zeros of the Chebyshev polynomials. The error due to truncation is shown to be bounded in absolute value by, and of the same sign as, the first neglected term.

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Keywords: Asymptotic expansion, Lebesgue constant, polynomial interpolation, Chebyshev polynomials
Article copyright: © Copyright 1982 American Mathematical Society