Construction of interpolation splines minimizing semi-norm in W-2((m,m-1)) (0, 1) space
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.
interpolation spline hilbert space norm minimizing property sl sobolev's method discrete argument function