A One-Parameter Class of B-Splines

Koçak, Z. F.; Phillips, G. M.

doi:10.1007/978-94-015-8577-4_10

Z. F. Koçak² &
G. M. Phillips³

Part of the book series: NATO Science Series ((ASIC,volume 454))

520 Accesses
1 Citations

Abstract

Let the real line be partitioned by the sequence of knots

$$ \ldots {t_{ - 2}} < {t_{ - 1}} < {t_0} < {t_1} < \ldots < {t_n} < {t_{n + 1}} < \ldots $$

.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution

Chapter: USD 29.95; Price excludes VAT (USA)

eBook: USD 259.00; Price excludes VAT (USA)

Softcover Book: USD 329.99; Price excludes VAT (USA)

Hardcover Book: USD 329.99; Price excludes VAT (USA)

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

References

Andrews, G.E. (1976) The Theory of Partitions, Addison-Wesley, Reading, Mass.
MATH Google Scholar
de Boor, C. (1978) A Practical Guide to Splines, Springer-Verlag, Berlin.
Book MATH Google Scholar
Koçak, Z.F. and Phillips, G.M. B-splines with geometric knotspacings, BIT (in the press).
Google Scholar
Hammerlin, G. and Hoffman, K.H. (1991) Numerical Mathematics, trans. L.L. Schumaker, Springer-Verlag, New York.
Book Google Scholar
Lee, E.T.Y. and Lucian, Miriam L. (1991) Möbius reparametrizations of rational B-splines, Comp. Aided Geom. Design 8, 213–215.
Article MathSciNet MATH Google Scholar
Lee, S.L. and Phillips, G.M. (1988) Polynomial interpolation at points of a geometric mesh on a triangle, Proc. Roy. Soc. Edin. 108A, 75–87.
Article MathSciNet Google Scholar
Phillips, G.M. and Taylor, P.J. (1992) Algorithms for spline and other approximations to functions and data, Comp. Phys. Comm. 73, 1–21.
Article MathSciNet Google Scholar
Schoenberg, I.J. (1981) On polynomial interpolation at points of a geometric progression, Proc. Roy. Soc. Edin. 90A, 195–207.
Article MathSciNet Google Scholar
Schumaker, L. L. (1981) Spline Functions: Basic Theory, John Wiley & Sons, New York.
MATH Google Scholar

Download references

Author information

Authors and Affiliations

Mathematics Department, Ege University, Bornova-Izmir, Turkey
Z. F. Koçak
Mathematical Institute, University of St Andrews, St Andrews, Scotland
G. M. Phillips

Authors

Z. F. Koçak
View author publications
You can also search for this author in PubMed Google Scholar
G. M. Phillips
View author publications
You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

Memorial University of Newfoundland, St. John’s, Newfoundland, Canada
S. P. Singh

Rights and permissions

Reprints and permissions

Copyright information

About this chapter

Cite this chapter

Koçak, Z.F., Phillips, G.M. (1995). A One-Parameter Class of B-Splines. In: Singh, S.P. (eds) Approximation Theory, Wavelets and Applications. NATO Science Series, vol 454. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-8577-4_10

Download citation

DOI: https://doi.org/10.1007/978-94-015-8577-4_10
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-4516-4
Online ISBN: 978-94-015-8577-4
eBook Packages: Springer Book Archive

Publish with us

Policies and ethics