CFP last date
20 January 2025
Call for Paper
February Edition
IJCA solicits high quality original research papers for the upcoming February edition of the journal. The last date of research paper submission is 20 January 2025

Submit your paper
Know more
The week's pick
Responsive image
SFLA-Based Line Balancing and Task Optimization in Master-Slave Controlled Hanger Transportation Systems for Garment Production

Duc Hoang Nguyen
Random Articles
Reseach Article

Solution of a Birkhoff Interpolation Problem by a Special Spline Function

by Ambrish Kumar Pandey, K. B. Singh, Qazi Shoeb Ahmad
journal cover thumbnail

International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 48 - Number 9
Year of Publication: 2012
Authors: Ambrish Kumar Pandey, K. B. Singh, Qazi Shoeb Ahmad
10.5120/7376-0174

Ambrish Kumar Pandey, K. B. Singh, Qazi Shoeb Ahmad . Solution of a Birkhoff Interpolation Problem by a Special Spline Function. International Journal of Computer Applications. 48, 9 ( June 2012), 22-27. DOI=10.5120/7376-0174

@article{ 10.5120/7376-0174,
author = { Ambrish Kumar Pandey, K. B. Singh, Qazi Shoeb Ahmad },
title = { Solution of a Birkhoff Interpolation Problem by a Special Spline Function },
journal = { International Journal of Computer Applications },
issue_date = { June 2012 },
volume = { 48 },
number = { 9 },
month = { June },
year = { 2012 },
issn = { 0975-8887 },
pages = { 22-27 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume48/number9/7376-0174/ },
doi = { 10.5120/7376-0174 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T20:43:38.099271+05:30
%A Ambrish Kumar Pandey
%A K. B. Singh
%A Qazi Shoeb Ahmad
%T Solution of a Birkhoff Interpolation Problem by a Special Spline Function
%J International Journal of Computer Applications
%@ 0975-8887
%V 48
%N 9
%P 22-27
%D 2012
%I Foundation of Computer Science (FCS), NY, USA
Abstract

In this paper we have discussed a special lacunary interpolation problem in which the function values, first derivatives at the nodes and the third derivatives at any point ? (0 in between the nodes are prescribed. We have solved the unique existence and convergence problems, using spline functions. As this holds for any ? (0 we named it a generalized problem.

References
  1. Burkett, J. and Verma, A. K. (June-1995) On Birkhoff Interpolation (0;2) case, Aprox. Theory and its Appl. , 11;2.
  2. Chawala, M. M. , Jain, M. K. and Subramanian, R. (1990) On numerical Integration of a singular two-point boundary value problem Inter. J. Computer. Math. Vol 31, 187-194.
  3. Cheney, E. W. (1966) Interpolation to approximation Theory, McGraw Hill, New York.
  4. Davydov, O. (1997) On almost Interpolation, Journal of Approx. Theory 91(3), 396-418.
  5. Goodman, T. N. T. ; Ivanov, K. G. ; Sharma, A. (1996) Hermite interpolation in the roots of unity, Journal of Approx. Theory, 84(1), 41-60.
  6. Jhunjhunwala, N. and Prasad, J. (1994) on some regular and singular problems of Birkhoff interpolation, Internet. J. Math. & Math. Sci. 17 No. 2, 217-226.
  7. Lorentz, G. G. , (1973) Approximation Theory, Academic Press Inc. New York.
  8. Lorentz, G. G. , Jetter, K. Riemenschneider, S. D. (1983) Birkhoff Interpolation, Addison-Wesley Publishing.
  9. Neumann, E. (1981) cubic spline with given values of the second derivatives at the knots, Demonstratio Mathematica XIV, No. 1, 155-125.
  10. Saxena, A. , Singh Kulbhushan; Lacunary Interpolation by Quintic splines, Vol. 66 No. 1-4 (1999), 0-00, Journal of Indian Mathematical Society, Vadodara, India.
  11. Schoenberg, I. J. (1972) Notes on spline functions, I, Koninkl. Nederl. Akademievan Westenschappen-Amesterdam, Series A 75, No. 5 and Indag. Math. 34 No. 5.
Index Terms

Computer Science
Information Sciences

Keywords

Lacunary Interpolation Spline Functions

Powered by PhDFocusTM