Ukrainian Mathematical Journal

, Volume 45, Issue 8, pp 1252–1259 | Cite as

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

  • S. I. Novikov


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.


Differential Operator Linear Differential Operator Periodic Coefficient 
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Copyright information

© Plenum Publishing Corporation 1994

Authors and Affiliations

  • S. I. Novikov
    • 1
  1. 1.Institute of Mathematics and MechanicsUral Section of the Russian Academy of SciencesEkaterinburg

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