Abstract
In the construction of the quadratic interpolating spline, a parameter can be arbitrarily chosen. In our recent paper [Sarajevo J. Math. 2 (15) (2006), 237–245], by adequately choosing the free parameter, some well-known as well as some new quadrature rules were obtained. In this paper, for a certain choice of the free parameter, we give an estimation of the error of approximation on the uniform mesh.
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
Chui, K.C.: An Introduction to Wavelets. Academic Press Inc., New York (1992)
Stoer, J.: Numerische Mathematik 1, 7th ed. Springer-Verlag, Berlin (1994)
Udovičić, Z.: Some modifications of the trapezoidal rule. Sarajevo J. Math. Vol. 2 (15) No. 2, 237–245 (2006)
Acknowledgements
This research was partially supported by the grant No. 11-14-21618.1/2007, Government of the Municipality of Sarajevo, Ministry of Science and Education.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Additional information
Dedicated to Professor Gradimir V. Milovanovićon the occasion of his 60th birthday
Rights and permissions
Copyright information
© 2010 Springer Science+Business Media, LLC
About this chapter
Cite this chapter
Udovičić, Z. (2010). On the Interpolating Quadratic Spline. In: Gautschi, W., Mastroianni, G., Rassias, T. (eds) Approximation and Computation. Springer Optimization and Its Applications, vol 42. Springer, New York, NY. https://doi.org/10.1007/978-1-4419-6594-3_31
Download citation
DOI: https://doi.org/10.1007/978-1-4419-6594-3_31
Published:
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4419-6593-6
Online ISBN: 978-1-4419-6594-3
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)