Construction of Lacunary Sextic spline function Interpolation and their Applications

Autor: Abbas Y. Al Bayati, Rostam K. Saeed, Faraidun K. Hama-Salh
Jazyk: Arabic<br />English
Rok vydání: 2010
Předmět:
Zdroj: مجلة التربية والعلم, Vol 23, Iss 3, Pp 108-115 (2010)
Druh dokumentu: article
ISSN: 1812-125X
2664-2530
DOI: 10.33899/edusj.2010.58392
Popis: Abstract In this paper, we consider the construction of the sextic splines function which interpolating the lacunary data. Also, under suitable conditions, we show that the existence and uniqueness of the solution. The convergence analysis of this spline function is studied and the error bounds are derived. This spline function applied to find an approximate value of a given function and its derivatives through six orders. A numerical example has been given to show the applicability and efficiency of the new proposed technique.
Databáze: Directory of Open Access Journals