2017
Том 69
№ 9

All Issues

An analog of the rolle theorem for differential operators andL-spline interpolation

Novikov S. I.

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Abstract

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 interpolationalL-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 andL-spline interpolation // Ukr. Mat. Zh. - 1993. - 45, № 8. - pp. 1122–1128.

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