Uniform B-spline approximation in Sobolev spaces

Numerical Algorithms

Volumn 15, Issue 1, 1997, Pages 1-14

  Reif, Ulrich ^a  

^a UNIVERSITY OF STUTTGART   (Germany)

Author keywords

Approximation; Orthonormal system; Sobolev space; Spline conversion; Uniform B spline

Indexed keywords

EID: 21744450214     PISSN: 10171398     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1019250217452     Document Type: Article

References (6)

1. R.A. Adams, Sobolev Spaces, Pure and Applied Mathematics Series (Academic Press, 1978).
2. I.N. Bronstein and K.A. Semendjajew, Taschenbuch der Mathematik (Verlag Harri Deutsch, 19th edn., 1979).
3. C. de Boor, A Practical Guide to Splines, Applied Mathematical Sciences (Springer, 1978).
4. U. Reif, Orthogonality of cardinal B-splines in weighted Sobolev spaces, to appear in SIAM J. Math. Anal. (1997).
5. L.L. Schumaker, Spline Functions: Basic Theory, Pure and Applied Mathematics (Wiley, New York, 1981).
6. E.M. Stein and G. Weiss, Introduction to Fourier Analysis on Euclidean Spaces (Princeton Univ. Press, 1975).