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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
Article
  • 26 Downloads

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.

Keywords

Differential Operator Linear Differential Operator Periodic Coefficient 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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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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