Interpolation splines minimizing semi-norm in S2(P2) space
Kholmat ShadimetovV.I. Romanovskiy Institute of Mathematics, Uzbekistan Academy of Sciences, University street, 9, Tashkent, 100174, UzbekistanSiroj AzamovTashkent State Transport University, Temiryo‘lchilar street, 1, Tashkent 100167, Uzbekistan
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This paper studies interpolation splines minimizing the semi-norm in S2(P2) space. Here explicit formulas for co-efficients of interpolation splines are obtained. The obtained interpolation spline is exact for the functions e−x and xe−x. For some functions, the experimental results in the cases N = 5 and N = 10 are shown.
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