Science and Education Publishing American Journal of Numerical Analysis 2328-7292 2 4 2014 05 26 Interpolation Splines Minimizing Semi-Norm in K2(P2) Space 107 114 EN Kholmat M. Shadimetov Abdullo R. Hayotov Institute of Mathematics, National University of Uzbekistan, Tashkent, Uzbekistan Azamov S. Siroj AJNA2014243 10.12691/ajna-2-4-3 2014 05 16 2014 05 26 2014 05 26 In the present paper using S.L. Sobolev's method interpolation splines minimizing the semi-norm in K2(P2) space are constructed. Explicit formulas for coefficients of interpolation splines are obtained. The obtained interpolation spline is exact for the functions and . Also we give some numerical results where we showed connection between optimal quadrature formula and obtained interpolation spline in the space K2(P2).