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.
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 45, No. 8, pp. 1122–1128, August, 1993.
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Novikov, S.I. An analog of the rolle theorem for differential operators andL-spline interpolation. Ukr Math J 45, 1252–1259 (1993). https://doi.org/10.1007/BF01070973
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DOI: https://doi.org/10.1007/BF01070973