Name
Abstract | ||
|---|---|---|
Let t=(a=x0x1xn=b) be a partition of an interval [a,b] of R, and let f be a piecewise function of class Ck on [a,b] except at knots xi where it is only of class
$C^{k_{i}}$
, ki=k. We study in this paper a novel method which smooth the function f at xi, 0=i=n. We first define a new basis of the space of polynomials of degree =2k+1, and we describe algorithms for smoothing the function f. Then, as an application, we give a recursive computation of classical Hermite spline interpolants, and we present a method which allows us to compress Hermite data. The most part of these results are illustrated by some numerical examples. |
Year | DOI | Venue |
|---|---|---|
2005 | 10.1007/s10444-004-1783-y | Adv. Comput. Math. |
Keywords | Field | DocType |
smoothing of functions,Hermite interpolation,compression of data | Discrete mathematics,Mathematical optimization,Partition of an interval,Hermite spline,Mathematical analysis,Smoothing spline,Hermite polynomials,Smoothing,Cubic Hermite spline,Hermite interpolation,Mathematics,Piecewise | Journal |
Volume | Issue | ISSN |
23 | 3 | 1019-7168 |
Citations | PageRank | References |
2 | 0.68 | 0 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| A. Mazroui | 1 | 2 | 1.36 |
| Driss Sbibih | 2 | 52 | 12.89 |
| Ahmed Tijini | 3 | 20 | 5.11 |