In this paper, we show that the Hm,∞-splines obtained by taking the limits of the Hm,p-splines, as p=pn→∞, are unique for certain data. In particular, when Hermite data is specified, the Hm,p-splines converge to a unique Hm,∞-spline in Hm,2. This method enables us to calculate the “natural” Hermite H2,∞-splines explicitly.
|Number of pages||5|
|Journal||SIAM Journal on Numerical Analysis|
|Publication status||Published - May 1974|
Scopus Subject Areas
- Numerical Analysis
- Computational Mathematics
- Applied Mathematics