Hermite—Λ插值样条

In this short note, we discuss a kind of splines which are associated with some linear differential operators. These Splines are called Hermite-Λ interpolating splines which may be regarded as a generalization of piecewise Hermite interpolations. The main result is: Let f (x)∈C⁴[a,b],τ(x) be the Hermite-Λ interpolating spline to f(x), if h is sufficiently small, then (?).