Sharp Lebesgue constants for bounded cubic interpolation ℒ-splines

Author:

Kim V. A.

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Reference10 articles.

1. Schurer F. and Cheney E. W., “On interpolating cubic splines with equally-spaced nodes,” in: Proc. Nederlande Acad. van Wetenschappen, 1968, Bd 71, Heft 5, pp. 517–524.

2. Schurer F., “On interpolating periodic quintic spline functions with equally spaced nodes,” Tech. Univ. Eindhoven Report 69-WSK-01, Eindhoven, Netherlands, 1969.

3. Richards F. B., “Best bounds for the uniform periodic spline interpolation operator,” J. Approx. Theory, 7, No. 3, 302–317 (1973).

4. Richards F. B., “The Lebesgue constants for cardinal spline interpolation,” J. Approx. Theory, 14, No. 2, 83–92 (1975).

5. Subbotin Yu. N. and Telyakovskiĭ S. A., “Asymptotic behavior of the Lebesgue constants of periodic interpolation splines with equidistant nodes,” Sb.: Math., 191, No. 8, 1233–1242 (2000).

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