Direct and converse theorems for spline approximation with free knots in $L_p$

V.A. Popov

Direct and converse theorems for spline approximation with free knots in $L_{p}$

Authors

V.A. Popov Institute of Mathematics and Mechanics of Bulgarien Academy of Sciences, Sofia, Bulgaria

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References

Popov, V. A., Direct and converse theorem for spline approximation with free knots. C. R. Acad. Bulgare Sci. 26 (1972), 1297-1299, MR0328433.

Popov, V.A., Direct an inverse theorems for spline approximation, Math. Serdica (to appear).

(in Russian)

Butter, G.J., Richards, W., An L saturation theorem for splines (to appear).

Scherer, Karl, Characterization of generalized Lipschitz classes by best approximation with splines. SIAM J. Numer. Anal. 11 (1974), 283-304, MR0358157, https://doi.org/10.1137/0711027

(in Russian)

Whitney, Hassler On functions with bounded nth differences. J. Math. Pures Appl. (9) 36 (1957), 67-95, MR0084611.

(in Russian)

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Published

1976-02-01

Issue

Vol. 5 No. 1 (1976)

Section

Articles

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This work is licensed under a Creative Commons Attribution 4.0 International License.

Open Access. This article is distributed under the terms of the Creative Commons Attribution 4.0 International License, which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.