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Mathematical Notes

, Volume 92, Issue 3–4, pp 473–484 | Cite as

Discrete analogs of Taikov’s inequality and recovery of sequences given with an error

  • E. V. VvedenskayaEmail author
  • K. Yu. Osipenko
Article
  • 55 Downloads

Abstract

We consider the problem of the recovery of the kth order divided difference from a sequence given with an errorwith bounded divided difference of nth order, 0 ≤ k < n. The solution of this problem involves an extremal problem similar to that known in the continuous case as Taikov’s inequality.

Keywords

recovery of sequences given with an error Taikov’s inequality kth order divided difference implicit-function theorem Sobolev class W2n (ℝ) 

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References

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Copyright information

© Pleiades Publishing, Ltd. 2012

Authors and Affiliations

  1. 1.Russian State Technological UniversityMoscowRussia
  2. 2.Russian State Technological University, Moscow Institute for Information Transmission ProblemsRussian Academy of SciencesMoscowRussia

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