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In the present paper, using S.L. Sobolev's method, interpolation spline thatminimizes the expression$\int_0^1(\varphi^{(m)}(x)+\omega^2\varphi^{(m-2)}(x))^2dx$ in the $K_2(P_m)$space are constructed. Explicit formulas for the coefficients of theinterpolation splines are obtained. The obtained interpolation spline is exactfor monomials $1,x,x^2,..., x^{m-3}$ and for trigonometric functions$\sin\omega x$ and $\cos\omega x$.

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