Lacunary Interpolation by Spline function (0,3) Case

 Rostam K. S.1, & Karwan H.J2

1 College of Engineering, Salahaddin University, 2 College of Science, University of Sulaimani

DOI: https://doi.org/10.17656/jzs.10111

Abstract

The object of this paper is to obtain the existence, uniqueness and error bounds of quintic deficient splines interpolating the data (0,3).

Keywords: lacunary interpolation.

References

[1]Bokhari, M. A., Dikshit, 11. P. and Sharma, A: Birkhoff interpolation on some perturbed roots of unity, Numerical Algorithms 2000, 25(1/4) 47-62

[2] Lenard, M.: Modified (0,2)-interpolation on the roots of Jacobi polynomials, 1(Explicit formulae), Acta Math. Hangar 1999, 84(4) 317-327. 

[3] ]Mcir, A. and Sharm, A. : Lacunary interpolation by splines SIAM J. Nume. Anal. 1973, 10 (3) 433-442. 

[4]Prasad, ,J, and Varma, A.K : Lacunizy interpolation by splines„, SIAM J. Nume. Anal 1979,16 (6) 1075-1079. 

[5] Saeed, R. K. Study of Launacry Interpolation by splines, M. Sc. thesis, Unversity Salahaddin ,College of Scince,( 1990). 

[6]Sharma,A., Szabados, J.,Underhill, B.. and Varma, A. K.: On some general lacunary interpolation problems, Approx. theory 1996, 87(2), 194-219.

[7] Swartz, B.•K: and Varga, R. S. A note on Lacunary Interpolation by Splines, SAIM.J. Nwne. Anal. 1973,10 (1) 443-447.

[8] Varma,A.K. Lacunary interpolation by SpIines,I,Acto. Math..Acad.Sci.Hungar 1987 31(34) 185-192. - 

[9]Varma. A.K. Lacunary Interpolation by Splines, II, Acta . Math . Acad . Sci. Hangar. 1973,51(34) 193-203

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