Construction of interpolation splines minimizing semi-norm in \(W_{2}^{(m,m-1)}(0,1)\) space
In the present paper using S.L. Sobolevs 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.
interpolation spline hilbert space norm minimizing property s.l.sobolevs method discrete argument function 41a05 41a15