Construction of Interpolation Splines Minimizing the Semi-norm in the Space K2(Pm)
Construction of Interpolation Splines Minimizing the Semi-norm in the Space K2(Pm)
In the present paper, using S.L. Sobolev's method, interpolation splines that minimize the expression2 dx in the space K2(Pm) are constructed.Explicit formulas for the coefficients of the interpolation splines are obtained.The obtained interpolation splines are exact for monomials 1, x, x 2 , . . ., x m-3 and for …