Journal of Mathematical Sciences

, Volume 84, Issue 4, pp 1240–1243 | Cite as

A comparative analysis of two methods of polynomial operator interpolation in a Hilbert space

  • E. F. Lytsenko
  • V. V. Khlobystov
Article
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Abstract

A comparative analysis of two methods of polynomial operator interpolation is performed. These methods are shown to be equivalent and, in the case of functional spaces, the efficiency of the algorithm for approximation with respect to the number of arithmetic operations is demonstrated.

Keywords

Hilbert Space Comparative Analysis Arithmetic Operation Functional Space Operator Interpolation 

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References

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    V. A. Trenogin,Functional Analysis [in Russian], Nauka, Moscow (1980).Google Scholar
  2. 2.
    V. L. Makarov and V. V. Khlobystov, “Polynomial interpolation of operators in Hilbert spaces,”Dokl. Akad. Nauk Ross.,324, No. 4, 742–745 (1992).MathSciNetGoogle Scholar
  3. 3.
    N. S. Bachvalov,Numerical Methods [in Russian], Vol. 1, Nauka, Moscow (1973).Google Scholar

Copyright information

© Plenum Publishing Corporation 1997

Authors and Affiliations

  • E. F. Lytsenko
  • V. V. Khlobystov

There are no affiliations available

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