This is a preview of subscription content, log in via an institution to check access.
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
Ahlberg, J.H., E.N. Nilson and J.L. Walsh: The Theory of Splines and Their Applications, Academic Press, New York 1967.
Burchard, H.G. and D.F. Hale: Piecewise polynomial approximation on optimal meshes. J.Approximation Theory 14 (1975), 128–147.
Butler, G. and F. Richards: An Lp-saturation theorem for splines, Canad.J.Math 24 (1972), 957–966.
De Vore, R.: Degree of Approximation, to appear in the Proceedings of the Symposium on Approximation Theory at the University of Texas, Austin 1976.
De Vore, R. and F. Richards: Saturation and inverse theorems for spline approximation. Spline Functions Approx. Theory, Proc.Symp.Univ.Alberta, Emonton 1972, ISNM21 (1973), 73–82.
Johnen, H. and K. Scherer: Direct and inverse theorems for best approximation by ∧ — splaines. In "Spline Functions", Proc. Symp. Karlsruhe 1975, Springer Lecture Notes in Math. 501, New York 1976, pp. 116–131.
Nitsche, J.: Umkehrsätze für Spline Approximation, Compositio Math. 21 (1970), 400–416.
Rice, J.R.: On the degree of nonlinear spline approximation. In "Approximation with Special Emphasis on Spline Functions", Academic Press, New York 1969, pp. 349–369.
Scherer, K.: Über die beste Approximation von Lp-Funktionen durch Splines. Proc. of Conference on "Constructive Function Theory", Vama 1970, pp. 277–286.
Scherer, K.: Some inverse theorems for best approximation by ∧ — splines, to appear in the Proceedings of the Symposium on Approximation Theory at the University of Texas, Austin 1976.
Timan, A.F.: Theory of Approximation of Functions of a Real Variable. Pergamon Press, New York 1963.
Editor information
Rights and permissions
Copyright information
© 1976 Springer-Verlag
About this paper
Cite this paper
Devore, R., Scherer, K. (1976). A constructive theory for approximation by splines with an arbitrary sequence of knot sets. In: Schaback, R., Scherer, K. (eds) Approximation Theory. Lecture Notes in Mathematics, vol 556. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0087405
Download citation
DOI: https://doi.org/10.1007/BFb0087405
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-08001-5
Online ISBN: 978-3-540-37552-4
eBook Packages: Springer Book Archive