Research Article
General Degree of Periodic Spline Functions
|
International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
|
| Volume 73 - Issue 20 |
| Published: July 2013 |
| Authors: Manprit Kaur, Arun Kumar |
10.5120/13007-9555
|
Manprit Kaur, Arun Kumar . General Degree of Periodic Spline Functions. International Journal of Computer Applications. 73, 20 (July 2013), 1-4. DOI=10.5120/13007-9555
@article{ 10.5120/13007-9555,
author = { Manprit Kaur,Arun Kumar },
title = { General Degree of Periodic Spline Functions },
journal = { International Journal of Computer Applications },
year = { 2013 },
volume = { 73 },
number = { 20 },
pages = { 1-4 },
doi = { 10.5120/13007-9555 },
publisher = { Foundation of Computer Science (FCS), NY, USA }
}
%0 Journal Article
%D 2013
%A Manprit Kaur
%A Arun Kumar
%T General Degree of Periodic Spline Functions%T
%J International Journal of Computer Applications
%V 73
%N 20
%P 1-4
%R 10.5120/13007-9555
%I Foundation of Computer Science (FCS), NY, USA
Abstract
In this paper we consider spline function of general degree m which has the same area as the function does in each partition of the sub-intervals. The existence and uniqueness in general of spline functions also been studied and obtained the result. : In this paper we consider spline function of general degree, i. e. ,of degree m, m=2,3,. . . . We first give definitions and notations. We take 0 =x0
References
- Ahlberg , J. H. , Nilson , E. N. and Walsh , J. L. , The theory of splines and their applications, Academic Press, (New York, 1967).
- de Boor, C. , Best approximations properties of splines of odd-degree , J. Math. Mech. 12,(1968),747-749.
- Das, V. B. , Spline interpolation by lower degree polynomials using area matching condition, Ph. D. Thesis, Rani Durgawati Uni. (2004), Jabalpur.
- Demko, S. , Interpolation by Quadratic Splines, J. Approx. Theory, 23(1978), 392-400.
- Dikshit, H. P. , On cubic interpolatory Splines, J. Approx. Theory, 22(1978), 105-107.
- Kumar and Das, Convergence of Cubic Piecewise Function, Journal of Computat1ional and Applied Mathematics , 194(2006),388-394.
- Kumar and Govil, L. K. , On Deficient Cubic Splines Interpolants, J. Approx. Theory, 68(1992), 175-182.
- Meir, A. and Sharma, A. , A Degree of Approximation, J. Math. Mech. , 15(1966), 759-768.
- Meir, A. and Sharma, A. , Convergence of a class of interpolatory splines, J. Approx. Theory, 1(1968), 243-250.
- Morsche H. ter. , On the existence and convergence of interpolating periodic spline functions of arbitrary degree, Deptt. of mathematics, Tech. Uni. Eindhoven, The Netherlands, 197-214.
- Subbotin, Yu. N. , Piecewise Polynomial (spline) Interpolation, Math. Notes, 1(1967), 41-45
Index Terms
Keywords