Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
J.H. AHLBERG—E. NILSON—J.L. WALSH: The Theory of Splines and their Applications, Academic Press, New York, 1967.
A. FRIEDMAN: Partial Differential Equations, Holt, Rinehart, and Winston, New York 1969.
G.W. HEDSTROM—R.S. VARGA: Application of Besov spaces to spline approximation, J. Approximation Theory 4 (1971), 295–327.
J.W. JEROME: On uniform approximation by certain generalized spline functions. J. Approximation Theory 7 (1973), 143–154.
H. JOHNEN: Inequalities connected with the moduli of smoothness, Mat. Vesnik, 9 (24) (1972), 289–303.
F. RICHARDS—R. de VORE: Saturation and inverse theorems for spline approximation. Spline Functions Approx. Theory, Proc. Sympos. Univ. Alberta, Edmonton 1972, ISNM 21 (1973), 73–82.
K. SCHERER: Characterization of generalized Lipschitz classes by best approximation with splines, SIAM J. Numer. Anal. 11 (1974), 283–304.
K. SCHERER: Best approximation by Chebychevian Splines and generalized Lipschitz spaces, Proceedings of the Conference on “Constructive Theory of Functions”, Cluj (1973).
B.K. SWARTZ—R.S. VARGA: Error bounds for spline and L-spline interpolation, J. Approximation Theory 6 (1972), 6–49.
A.F. TIMAN: Theory of Approximation of Functions of a Real Variable. Pergamon Press, New York 1963.
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1976 Springer-Verlag
About this paper
Cite this paper
Johnen, H., Scherer, K. (1976). Direct and inverse theorems for best approximation by Λ-Splines. In: Böhmer, K., Meinardus, G., Schempp, W. (eds) Spline Functions. Lecture Notes in Mathematics, vol 501. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0079744
Download citation
DOI: https://doi.org/10.1007/BFb0079744
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-07543-1
Online ISBN: 978-3-540-38073-3
eBook Packages: Springer Book Archive