L^p空间Hermite插值的联合逼近阶

Simultaneous Approximation Order by Hermite Interpolation in L p Space

研究了在Ｌｐ空间用复的Ｈｅｒｍｉｔｅ插值多项式及其导数联合平均逼近解析函数及其导数，所获逼近阶是精确的，并且包含了若干已有的结果为其特殊情形。

In this paper we investigate the mean approximation to function and it's derivatives by Hermite interpolation polynomials and it's derivatives in L p space.The approximation order obtained here is sharp.Moreover,some known results are included in this paper as special case.