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Reseach Article

Convergence of Quintic Spline Interpolation

by Y. P. Dubey, Anil Shukla
International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 67 - Number 15
Year of Publication: 2013
Authors: Y. P. Dubey, Anil Shukla
10.5120/11470-7079

Y. P. Dubey, Anil Shukla . Convergence of Quintic Spline Interpolation. International Journal of Computer Applications. 67, 15 ( April 2013), 12-16. DOI=10.5120/11470-7079

@article{ 10.5120/11470-7079,
author = { Y. P. Dubey, Anil Shukla },
title = { Convergence of Quintic Spline Interpolation },
journal = { International Journal of Computer Applications },
issue_date = { April 2013 },
volume = { 67 },
number = { 15 },
month = { April },
year = { 2013 },
issn = { 0975-8887 },
pages = { 12-16 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume67/number15/11470-7079/ },
doi = { 10.5120/11470-7079 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T21:24:53.758408+05:30
%A Y. P. Dubey
%A Anil Shukla
%T Convergence of Quintic Spline Interpolation
%J International Journal of Computer Applications
%@ 0975-8887
%V 67
%N 15
%P 12-16
%D 2013
%I Foundation of Computer Science (FCS), NY, USA
Abstract

In this paper, we have investigate existance, uniqueness and error bound of quintic spline interpolation.

References
  1. Deboor, C. , A Practical Guide to splines, Applied Mathematical Science, Vol. 27 Springer - Verlag, New York, 1979.
  2. Hall, C. A. and Meyer, W. W. , J. Approximation Theory, 16(1976), pp. 105-122.
  3. Howel, G. and Verma, A. K. , Best Error Bond of Quartic Spline Interpolation, J. Appron Theory 58 (1989), 58-67.
  4. Davis, P. J. , Interpolation and approximation. New Yrok, 1961.
  5. Agrawal, R. P. and Wong, P. J. Y. Error Inqualities in Polynomial Interpolation and their application, Kumar Academic Publisher's (1993).
  6. Gemlling, R. H. J. and Meyling, G. In Interpolation by Bivariate Quintic splines of class . . . . . (Construction in theory of functions 87), (Ed) Sendov et. al. ) (1987), 152-61.
  7. Rana, S. S. , Dubey, Y. P. and Gupta, P. Convergence of Deficient Quintic Spline Interpolation, Journal of Indian Math Soc. Vol. No. 70 No. -1-4 (2003), pp. 41-28.
  8. Rana, S. S. and Dubey, Y. P. Best Error Bound of Quintic Spline Interpolation, J. Pure and app. Math 28 (10) 1937-44, 1997.
  9. Jianzhong, W. and Hung, D. Scientia Sinica 24 (1982), 1130-41.
  10. Dubey, Y. P. Best Error Bound of Spline of Degree six, Int. Journal of Mathematics Analysis, Vol. 5, pp. 21-24, 2011.
Index Terms

Computer Science
Information Sciences

Keywords

Convergence Quintic spline Interpolation Error Bound Deficient