Asymptotic expansion of the Lebesgue constants associated with polynomial interpolation
Asymptotic expansion of the Lebesgue constants associated with polynomial interpolation
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.