Eine Bemerkung zur Konvergenz Hermitescher Interpolationsprozesse

SummaryLetHk,n(f; x) be the polynomial which interpolates ak-times continously differentiable functionf as well as its derivatives up to the orderk at the Chebyshevnodes. An estimate of the norm ofHk, n(f) is obtained which enables an estimate of the error of interpolation in terms of arbitrary moduli of continuity off(k). Furthermore, by a more general result on projection operators, it is shown thatHk, n(k)(f; x) generally does not converge uniformly tof(k).