缺项样条插值(Ⅰ)

1] proved that S_n(x) was uniquely determined, and gave the error bounds of approximation of f(x) ∈C~4 0,1] by S_n(x). B. K. Swartz and R. S. Varga 2] also gave the degree of approximation of f(x) ∈C~6 0, 1] by S_n(x). Z. R. Guo 3] obtained the saturation theorem for this approximation. Z. R. Guo 4-5] were also concerned in this kind of interpolation and gave the degree of approximation. In this paper we consider the general lacunary interpolation by quintic splines.