4次Hermite-Birkhoff插值基本样条的渐近展开

THE ASYMPTOTIC EXPANSION OF THE QUARTIC HERMITE-BIRKHOFF INTERPOLATION CARDINAL SPLINE

提出了一类4次H-B插值基本样条,利用Peano核定理,讨论了其存在唯一性,给出了其误差的逐项渐近展开,发展了Daniel Lee的结果。

In this paper we present a new class of quartic Hermite-Birkhoff cardinal spline interpolation. In addition to Peano theorem andthe working equation, we obtained the asymptotic expansion of thisinterpolation process. This gives insight into Damiel Lee's result.