论文信息 - Splines (with optimal knots) are better

Splines (with optimal knots) are better

Let SM k be the Polynominal splines of degree n-1, and with K segments. If f∈ C n [a,b],then the distance in the Lp-norm form(0< p ≦ ∞)of from S M k is boundedby M/K n , with a much smaller M than in similar estimates for other processes of approximation.

H. G. Burchard | Hermann G. W. Burchard

[1] J. Aubin. Approximation des espaces de distributions et des opérateurs différentiels , 1967 .

[2] Carl de Boor,et al. On uniform approximation by splines , 1968 .