Novikov S. I.
Ukr. Mat. Zh. - 1999. - 51, № 11. - pp. 1495–1504
The exact values of the upper bounds of deviations of piecewise-HermitianL-splines are found for certain classes of functions determined by systems of linear differential operators with continuous coefficients.
Ukr. Mat. Zh. - 1993. - 45, № 8. - pp. 1122–1128
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.