Construction of Dm-splines in L2(m)(0,1) space by Sobolev method

Autor:	Alberto Cabada, Abdullo Rakhmonovich Hayotov, Kholmat M. Shadimetov
Rok vydání:	2014
Předmět:	Box spline Applied Mathematics Mathematical analysis Hilbert space Mathematics::Numerical Analysis Quadrature (mathematics) Sobolev space Computational Mathematics Spline (mathematics) symbols.namesake Computer Science::Graphics symbols Bicubic interpolation Spline interpolation Mathematics
Zdroj:	Applied Mathematics and Computation. 244:542-551
ISSN:	0096-3003
DOI:	10.1016/j.amc.2014.07.033
Popis:	In the present paper, using S.L. Sobolev’s method, interpolation D m -splines that minimizes the expression ∫ 0 1 ( φ ( m ) ( x ) ) 2 dx in the L 2 ( m ) ( 0 , 1 ) space are constructed. Explicit formulas for the coefficients of the interpolation splines are obtained. The obtained interpolation spline is exact for polynomials of degree m - 1 . Some numerical experiments are presented. Moreover the connection between the obtained interpolation splines and the optimal quadrature formulas are shown.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::4330fd18f7644ace9adacd86a009bb93 https://doi.org/10.1016/j.amc.2014.07.033 Zobrazit plný text záznamu Full Text from ScienceDirect