| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4627505 | Applied Mathematics and Computation | 2014 | 10 Pages |
Abstract
In the present paper, using S.L. Sobolev’s method, interpolation DmDm-splines that minimizes the expression ∫01(φ(m)(x))2dx in the L2(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-1m-1. Some numerical experiments are presented. Moreover the connection between the obtained interpolation splines and the optimal quadrature formulas are shown.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
A. Cabada, A.R. Hayotov, Kh.M. Shadimetov,