TOBIN A. DRISCOLL, J. A. C. WEIDEMAN, OPTIMAL DOMAIN SPLITTING FOR INTERPOLATION BY CHEBYSHEV POLYNOMIALS, SIAM Journal on Numerical Analysis, Vol. 52, No. 4 (2014 ...

Consider, as nodes for polynomial interpolation, the $n$th roots of unity. For a sufficiently smooth function $f (z)$, we require a polynomial $p (z)$ to interpolate $f$ and certain of its derivatives ...