Construction of interpolation splines minimizing the semi-norm in the space $K_2(P_m)$

In the present paper, using S.L. Sobolev's method, interpolation spline that minimizes the expression R 1 0 (' (m) (x)+! 2 ' (m−2) (x)) 2 dx in the K2(Pm) space are constructed. Explicit formulas for the coefficients of the interpolation splines are obtained. The obtained interpolationspline is exact for monomials1,x,x 2 ,...,x m−3