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

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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.

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Authors and Affiliations

  1. Institute of Mathematics and Mechanics, Ural Section of the Russian Academy of Sciences, Ekaterinburg

    S. I. Novikov

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  1. S. I. Novikov
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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

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