Exact bounds for the uniform approximation of continuous periodic functions by r-th order splines-Reference-Cited by-同舟云学术

Exact bounds for the uniform approximation of continuous periodic functions by r-th order splines

Published:1973-02 Issue:2 Volume:13 Page:130-136
ISSN:0001-4346
Container-title:Mathematical Notes of the Academy of Sciences of the USSR
language:en
Short-container-title:Mathematical Notes of the Academy of Sciences of the USSR

Author:

Zhensykbaev A. A.

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Link

http://link.springer.com/content/pdf/10.1007/BF01094230.pdf

Reference7 articles.

1. I. H. Ahlberg, E. N. Nilson, and L. Walsh, ?Best approximation and convergence properties of higher order spline approximations,? J. Math. Mech.,14, 231?244 (1965).

2. Yu. N. Subbotin, ?Piece-wise polynomial interpolation,? Matem. Zametki,1, No. 1, 63?70 (1967).

3. V. N. Malozemov, ?Deviations of broken lines,? Vestnik LGU, No. 7, 150?153 (1966).

4. F. Schurer and E. W. Cheney, ?On interpolating by cubic splines with equally spaced nodes,? Indag. Math.,30, No. 5, 517?524 (1968).

5. F. Schurer, ?On interpolating periodic quintic spline functions with equally spaced nodes,? Techn. Hogesch. Eindhoven. Onderafdel. wisk. Rept. No. 1, 1?28 (1969).

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