Abstract
This paper is divided into two parts. In the first part we define a rather general class of piecewise functions, and discuss some of its basic algebraic and structural properties. In the second part, we specialize to a (still quite general) class of Tchebycheffian splines and discuss their zero properties and approximation powers.
Keywords
- Spline Function
- Incidence Matrix
- Constructive Theory
- Polynomial Spline
- Total Positivity
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
Supported in part by the Deutsche Forschungsgemeinschaft at the University of Munich, and by the United States Air Force under Grant AFOSR-74-2895A.
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References
Schumaker, L.L., Zeros of spline functions and applications, J. Approx. Th., to appear.
Schumaker, L.L., On Tchebycheffian spline functions, J. Approx. Th., to appear.
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© 1976 Springer-Verlag
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Schumaker, L.L. (1976). Toward a constructive theory of generalized spline functions. In: Böhmer, K., Meinardus, G., Schempp, W. (eds) Spline Functions. Lecture Notes in Mathematics, vol 501. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0079753
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DOI: https://doi.org/10.1007/BFb0079753
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