The week's pick
Reseach Article
Quartic Spline Interpolation
by
Suyash Dubey,
Y.p. Dubey
| International Journal of Computer Applications |
| Foundation of Computer Science (FCS), NY, USA |
| Volume 105 - Number 3 |
| Year of Publication: 2014 |
| Authors: Suyash Dubey, Y.p. Dubey |
10.5120/18358-9493
|
Suyash Dubey, Y.p. Dubey . Quartic Spline Interpolation. International Journal of Computer Applications. 105, 3 ( November 2014), 20-23. DOI=10.5120/18358-9493
@article{
10.5120/18358-9493,
author = {
Suyash Dubey,
Y.p. Dubey
},
title = { Quartic Spline Interpolation },
journal = {
International Journal of Computer Applications
},
issue_date = { November 2014 },
volume = { 105 },
number = { 3 },
month = { November },
year = { 2014 },
issn = { 0975-8887 },
pages = {
20-23
},
numpages = {9},
url = {
https://ijcaonline.org/archives/volume105/number3/18358-9493/
},
doi = { 10.5120/18358-9493 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T22:36:44.718641+05:30
%A Suyash Dubey
%A Y.p. Dubey
%T Quartic Spline Interpolation
%J International Journal of Computer Applications
%@ 0975-8887
%V 105
%N 3
%P 20-23
%D 2014
%I Foundation of Computer Science (FCS), NY, USA
Abstract
In this paper, we have obtained existence, uniqueness, and error bound of deficient quartic spline interpolation.
References
- Davis, P. J. Interpolation and approximation, Blaisdell New York 1969
- Dikshit,H. P. and Rana, S. S. Cubic Interpolatory splines with non uniform Meshes J. Approx. Theory Vol 45, no4(1985)
- C. A. Hall and Meyer, W. W. ; Optimal error bounds for cubic spline Interpolation J. Approx. Theory, 58 (1989), 59-67.
- Kopotun K. A. : Univariate spline equivalence of moduli of smoothness and application . Mathematics of computation 76 (2007), 930-946.
- Marken, K. and Reimer's M. An unconditionally convergent Methods for computing Zero's of Splines and Polynomials. Mathematics of computation 76 (2007) 845-866.
- Howell, G and Varma, A. K. Best error bound for quartic spline interpolation J. Approx. theory 58 (1989), 59-67.
- Rana, S. S. Quartic spline interpolation, Jour. of approximation Theory 57 (1989), 300-305.
- Rana, S. S. , Convergence of a class of deficient interpolatory splines, Rocky Mount. Journal of Math. 18 (1988) 825-831.
- R. P. Agrawal and P. J. Y. Wang, Error Inequalaties of Polynomial Interpolation and their application. Kumar Academic Publisher, 1993.
- R. H. J. G. Gmelig - Meyling. On Interpolation by Vibariate Quintic Spline of classd C2 (Constructive theory of function 87) (Eds. Sundov et. al. ) (1987) 153-61.
- Deboor, C. A. Practical Guide to Splines, Applied Mathematical Science, Vol. 27 Spoinger, Varlag, New York 1979.
- Hall, C. A. and Meyer, W. W. , J. Approximation Theory 16 (1976), pp 105-122.
- Howell, G. and Verma, A. K. Best Error Bound of Quartic Spline Interpolation, J. Approx. Theory 58 (1989), 58-67.
- Davis, P. J. Interpolation and approximation, New York, 1969.
- Dubey, Y. P. Best Error Bounds of Spline of degree six. Int. Jour. of Mathematical Ana. Vol. 5 (2011), pp. 21-24.
- Gemlling, R. H. J. and Meyling, G. in Interpolation by Bivartate Quintic Splines of Class Construction of Theory of function 87 (ed) Sendor et al (1987) 152-61.
- Rana, S. S. and Dubey, Y. P. Best ERror Bounds of Quintic Spline Interpolation J. Pune and App. Math 28 (10) 1937-44 (1997).
- Rana, S. S. and Dubey, Y. P. Best Error Bounds of deficient quartic spline interpolation, Indian Journal Pune and Appl. Math 30(4) (1999), 385-393.
- Meir, A. and Sharma, A. Convergence of a class of interpolatory spline J. Approx. Theory (1968), pp. 243-250.
Index Terms
Computer Science
Information Sciences
Keywords