Interpolation by Splines of Even Degree According to Subbotin and Marsden
We consider the problem of interpolation by splines of even degree according to Subbotin and Marsden. The study is based on the representation of spline derivatives in the bases of normalized and nonnormalized B-splines. The systems of equations for the coefficients of these representations are obtained. The estimations of the derivatives of the error function in the approximation of an interpolated function by the complete spline are deduced via the norms of inverse matrices of the investigated systems of equations. The relationship between the splines in a sense of Subbotin and the splines in a sense of Marsden is established.
English version (Springer): Ukrainian Mathematical Journal 66 (2014), no. 7, pp 994-1012.
Citation Example: Volkov Yu. S. Interpolation by Splines of Even Degree According to Subbotin and Marsden // Ukr. Mat. Zh. - 2014. - 66, № 7. - pp. 891–908.