Construction of interpolation splines minimizing semi-norm in W_{2}^{(m,m-1)}(0,1) space |
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| Authors: | Kholmat M Shadimetov Abdullo R Hayotov |
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| Institution: | 1. Institute of Mathematics and Information Technologies, Uzbek Academy of Sciences, Do’rmon yo’li street, 29, Tashkent, 100125, Uzbekistan
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| Abstract: | In the present paper using S.L. Sobolev’s method interpolation splines minimizing the semi-norm in a Hilbert space are constructed. Explicit formulas for coefficients of interpolation splines are obtained. The obtained interpolation spline is exact for polynomials of degree m?2 and e ?x . Also some numerical results are presented. |
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