Hermite—Fejér插值的精确估计与饱和问题

THE EXACT ESTIMATION OF DEGREES OF APPROXIMATION BY HERMITE-FEJER INTERPOLATION AND THEIR SATURATION PROBLEMS

本文综述了基于Jacobi节点的Hermite-FeJér插值的点态逼近阶的精确估计,渐近展开和饱和问题的最新进展,并提出了若干目前尚未解决的有意义的问题.

In this paper we make a:survey of the recent advances on the exact pointwise degrees of approximation, the asymptotic expansion and saturation problem for Hermite-Fejer interporodation .based on Jacobi abscissas and we raise several open problems.