An analog of the rolle theorem for differential operators and $L$-spline interpolation
An analog of the Rolle theorem is established for linear differential operators with continuous periodic coefficients. By using this result, exact values of the deviations of interpolational $L$-splines are obtained on certain classes of functions given by a linear differential operator.
English version (Springer): Ukrainian Mathematical Journal 45 (1993), no. 8, pp 1252-1259.
Citation Example: Novikov S. I. An analog of the rolle theorem for differential operators and $L$-spline interpolation // Ukr. Mat. Zh. - 1993. - 45, № 8. - pp. 1122–1128.