Keywords:-
Article Content:-
Abstract
Th. Fauzi constructed special kinds of lacunary quintic g-splines and proved that for functions the methods converges faster than that investigated by A.K. Verma and for functions the order of approximation is the same as the best order of approximation using quintic g-splines. In this paper, we construct quintic lacunary g-splines which are solutions of (0,1,4 )- Interpolation problem and obtain their local approximations with functions belonging to and . Our methods are of lower degree having better convergence property than the earlier investigations.
References:-
References
A.K. VARMA : Lacunary interpolation by splines-II Acta Math. Acad. Sci. Hungar., 31(1978), pp.
-203.
(2) R. S. MISRA & K.K. MATHUR : Lacunary interpolation by splines ( 0; 0, 2, 3 ) and ( 0; 0, 2, 4)
cases, Acta Math. Acad. Sci. Hungar, 36 (3-4) (1980), pp. 251-260.
(3) Th. FAWZY : (0, 1, 3 ) Lacunary interpolation by G-splines, Annales Univ. Sci., Budapest, Section
Maths. XXXIX (1986), pp.63-67.
(4) J. GYORVARI : Lacunary interpolation spline functionen, Acta Math. Acad. Sci. Hungar, 42(1-2)
(1983) , pp. 25-33.
(5) R.B. SAXENA & H.C. TRIPATHI : (0, 2, 3 ) and (0, 1, 3) – interpolation through splines, Acta
Math. Hungar., 50(1-2) (1987), pp. 63-69.
(6) R.B. SAXENA & H.C. TRIPATHI : (0, 2, 3) and (0, 1, 3)- interpolation by six degree splines, Jour.
Of computational and applied Maths., 18 (1987), pp. 395-101.
(7) Abbas Y. Albayati, Rostam K.S., Faraidun K. Hamasalh: Consturction of Lacunary Sixtic spline
function Interpolation and their Applications. Mosul University, J. Edu. And Sci., 23(3)(2010).
(8) F. Lang and X. Xu: “A new cubic B-spline method for linear fifth order boundary value problems”.
Journal of Applied Mathematics and computing, vol. 36, no. 1-2, pp-110-116, 2011.
(9) Ambrish Kumar Pandey, Q S Ahmad, Kulbhushan Singh : Lacunary Interpolation (0, 2; 3) problem
and some comparison from Quartic splines: American journal of Applied Mathematics and statistics
, 1(6), pp- 117-120.