Asymptotic Expansion of the Lebesgue Constants Associated with Polynomial Interpolation
- 1 July 1982
- journal article
- research article
- Published by JSTOR in Mathematics of Computation
- Vol. 39 (159) , 195-200
- https://doi.org/10.2307/2007629
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.Keywords
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