Geodesic
Asymptotic Error Expansions for Spline Interpolation
Canadian mathematical bulletin, Tome 27 (1984) no. 3, pp. 337-344

Voir la notice de l'article provenant de la source Cambridge University Press

During the last decade or so there has been a revival of interest in the analysis of error-bounds f (s)-S(s) for different classes of functions and their interpolatory splines of odd degree on a finite interval with variations on end conditions. Our object is to present a unified treatment of the asymptotic error expansion both for even and for odd degree interpolatory splines.
DOI : 10.4153/CMB-1984-051-7
Mots-clés : 41A60 
Dikshit, H. P.; Sharma, A.; Tzimbalario, J. Asymptotic Error Expansions for Spline Interpolation. Canadian mathematical bulletin, Tome 27 (1984) no. 3, pp. 337-344. doi: 10.4153/CMB-1984-051-7
@article{10_4153_CMB_1984_051_7,
     author = {Dikshit, H. P. and Sharma, A. and Tzimbalario, J.},
     title = {Asymptotic {Error} {Expansions} for {Spline} {Interpolation}},
     journal = {Canadian mathematical bulletin},
     pages = {337--344},
     year = {1984},
     volume = {27},
     number = {3},
     doi = {10.4153/CMB-1984-051-7},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1984-051-7/}
}
TY  - JOUR
AU  - Dikshit, H. P.
AU  - Sharma, A.
AU  - Tzimbalario, J.
TI  - Asymptotic Error Expansions for Spline Interpolation
JO  - Canadian mathematical bulletin
PY  - 1984
SP  - 337
EP  - 344
VL  - 27
IS  - 3
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1984-051-7/
DO  - 10.4153/CMB-1984-051-7
ID  - 10_4153_CMB_1984_051_7
ER  - 
%0 Journal Article
%A Dikshit, H. P.
%A Sharma, A.
%A Tzimbalario, J.
%T Asymptotic Error Expansions for Spline Interpolation
%J Canadian mathematical bulletin
%D 1984
%P 337-344
%V 27
%N 3
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-1984-051-7/
%R 10.4153/CMB-1984-051-7
%F 10_4153_CMB_1984_051_7

[1] 1. Birkhoff, G. and De Boor, C., Error bounds for spline interpolation, J. Math. Mech., 13 (1964), 827–836. Google Scholar

[2] 2. Hansen, E. R., A Table of Series and Products, Prentice-Hall, 1975. Google Scholar

[3] 3. Kamerer, W. J., Reddien, G. W. and Varga, R. S., Quadratic interpolatory spline, Numer. Math., 22 (1974), 241–259. Google Scholar

[4] 4. Kershaw, D., A bound on the inverse of a band matrix which occurs in interpolation by periodic odd order splines, J. Inst. Maths. Applies, 20 (1977), 227–228. Google Scholar

[5] 5. Lucas, T. R., Asymptotic expansions for interpolating periodic splines, SIAM J. Numer. Anal., 19 (1982), 1051–1066. Google Scholar

[6] 6. Marsden, M., Quadratic spline interpolation, Bull. Amer. Math. Soc, 80 (1974), 903–906. Google Scholar

[7] 7. Schoenberg, I. J., Cardinal spline interpolation, SIAM Regional Conf. Series, 12 (1973). Google Scholar

Cité par Sources :