New Construction and New Error Bounds for (0, 2, 4) Lacunary Interpolation By Six Degree Spline

Autor: Karwan Jwamer, Ridha Karem
Jazyk: Arabic<br />English
Rok vydání: 2011
Předmět:
Zdroj: Al-Rafidain Journal of Computer Sciences and Mathematics, Vol 8, Iss 1, Pp 37-46 (2011)
Druh dokumentu: article
ISSN: 1815-4816
2311-7990
DOI: 10.33899/csmj.2011.163606
Popis: The object of this paper obtains the existence, uniqueness and upper bounds for errors of six degree splines interpolating the lacunary data (0, 2, 4). We also show that the changes of the boundary conditions and the class of spline functions has a main role in minimizing the upper bounds for error in lacunary interpolation problem. For this reason, in the construction of our spline function which interpolates the lacunary data (0, 2, 4). We changed the boundary condition and the class of spline functions which are given by [4] from first derivative to third derivative and the class of spline function from to .
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