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Splines (with optimal knots) are better |
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| Authors: | Hermann G Burchard ? |
| Institution: | Department of Mathematics , Oklahoma State University , Stillwater, Okla, 74074, U.S.A |
| Abstract: | 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. |
| Keywords: | 35R30 35A20 |