Convergence analysis of an interpolation process for the derivatives of a complete spline-Reference-Cited by-同舟云学术

Convergence analysis of an interpolation process for the derivatives of a complete spline

Published:2012-10-14 Issue:1 Volume:187 Page:101-114
ISSN:1072-3374
Container-title:Journal of Mathematical Sciences
language:en
Short-container-title:J Math Sci

Author:

Volkov Yuriy S.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,General Mathematics,Statistics and Probability

Link

http://link.springer.com/content/pdf/10.1007/s10958-012-1053-3.pdf

Reference31 articles.

1. J. Ahlberg, E. Nilson, and J. Walsh, The Theory of Splines and Their Applications, Academic Press, New York, 1967.

2. C. de Boor, “On cubic spline functions that vanish at all knots,” Adv. math., 20, No. 1, 1–17 (1976).

3. C. de Boor, “On the convergence of odd-degree spline interpolation,” J. Approxim. Theory, 1, No. 4, 452–463 (1968).

4. C. de Boor, “On a max-norm bound for the least-squares spline approximant,” Approximation and Function Spaces: Proc. Intern. Conf., Gdánsk, 1979, North-Holland, Amsterdam–New York, 1981, pp. 163–175.

5. C. de Boor, “The quasi-interpolant as a tool in elementary polynomial spline theory,” Approximation Theory: Proc. of Conf., Austin, Academic Press, New York, 1973, pp. 269–276.

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