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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

Construction of Interpolation Splines Minimizing the Semi-norm in the Space K2(Pm)