Faraidun K. Hamasalh and Karwan H.F. Jwamer. Inhomogeneous Lacunary Interpolation and Optimization Errors Bound of Seventh Spline.
. 2013; 1(3):46-51. doi: 10.12691/AJAMS-1-3-3
interpolation spline function, boundary condition, optimal error bounds
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[1] | Ahlberg, J. H.; Nilson, E. N. and Walsh, J. L., The theory of splines and their applications, New York, London, 1967. |
|
[2] | Athanassios Nikolis, Numerical solutions of ordinary differential equations with quadratic trigonometric splines, Applied Mathematics E-Notes, ISSN 1607-2510, Vol.4,(2004),p. 142-149. |
|
[3] | De Boor C., A Practical Guide to Splines. Revised Edn., Springer Verlag, New York, (2001). |
|
[4] | Faraidun K. Hama-Salh, Inhomogeneous Lacunary Interpolation by Splines (0, 2; 0, 1, 4) Case, Asian Journal of Mathematics and Statistics 3(4), (2010), p. 211-224. |
|
[5] | Howell, G. and Varma, A.K., Best Error Bounds for Quantic Spline Interpolation, Approximation Theory, Vol.58, No.1 (1989). |
|
[6] | Karwan H.F. Jwamer, Minimizing error bounds in (0,2,3) lacunary interpolation by sextic spline function, Journal of Mathematics and Statistics ,USA, 3(4),(2007), pp. 249-256 . |
|
[7] | Karwan H.F. Jwamer and Saeed R.K, (0, 1, 3) Lacunary Interpolation with Splines of Degree Six, Journal of Applied and Industrial Sciences, April, 2013, 1 (1), p. 21-24. |
|
[8] | Meir, A. and A. Sharma, Lacunary interpolation by splines. SIAM J. Numer. Anal., 10,(1973),p. 433-442. |
|
[9] | Saad A Manna, Faraidun K. Hama-Salh and Hardi N. Aziz, An approximate solution of some differential equations with new type of interpolation, A. J. of M. and St., Vol. 6(1),(2013), p. 33-42. |
|
[10] | Saeed R.K. and Karwan H.F. Jwamer., Inhomogeneous Lacunary Interpolation, Journal of Dohuk University, Vol.6, No.1,(2003), p 94-104. |
|
[11] | Saxena, R.B. and T. C. Joshi,Inhomogeneous lacunary interpolation by splines, I (0, 2: 0, 3). Bulgaricae Mathematicae Publi., vol. 6, (1980), p. 341-351. |
|