Open AccessThe Existence, Uniqueness And Upper Bounds For Errors Of Six Degree Spline Interpolating The Lacunary Data (0,2,5)
Author(s) -
Abbas Al-Bayati,
Rostam K. Saeed,
Karwan Hama Faraj Jwamer
Publication year - 2010
Publication title -
maǧallaẗ al-rāfidayn li-ʿulūm al-ḥāsibāt wa-al-riyāḍiyyāẗ/al-rafidain journal for computer sciences and mathematics
Language(s) - English
Resource type - Journals
eISSN - 2311-7990
pISSN - 1815-4816
DOI - 10.33899/csmj.2010.163884
Subject(s) - lacunary function , mathematics , uniqueness , spline (mechanical) , spline interpolation , degree (music) , mathematical analysis , interpolation (computer graphics) , upper and lower bounds , smoothing spline , thin plate spline , pure mathematics , statistics , computer science , bilinear interpolation , image (mathematics) , artificial intelligence , structural engineering , engineering , physics , acoustics
The object of this paper is to obtain the existence, uniqueness and upper bounds for errors of six degree spline interpolating the lacunary data (0,2,5). We also showed 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 (0,2,5), we changed the boundary conditions and the class of spline functions which are given by (1) from first derivative to third derivative and the class of spline function from ) 1 , 0 ( 2 C to )
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