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On continual interpolation nodes for operators in linear topological spaces

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Ukrainian Mathematical Journal Aims and scope

We establish conditions for the existence of continual nodes for interpolation polynomials of the integral type. This result is generalized to the case of multivariable operators. Some examples of these interpolants are analyzed.

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Authors and Affiliations

  1. Institute of Mathematics, Ukrainian National Academy of Sciences, Kyiv, Ukraine

    V. L. Makarov

  2. Kyiv National Aviation University, Kyiv, Ukraine

    V. V. Khlobystov

  3. Shevchenko Kyiv National University, Kyiv, Ukraine

    O. F. Kashpur

Authors
  1. V. L. Makarov
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  2. V. V. Khlobystov
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  3. O. F. Kashpur
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Additional information

Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 62, No. 4, pp. 494–503, April, 2010.

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Makarov, V.L., Khlobystov, V.V. & Kashpur, O.F. On continual interpolation nodes for operators in linear topological spaces. Ukr Math J 62, 564–574 (2010). https://doi.org/10.1007/s11253-010-0372-0

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  • DOI: https://doi.org/10.1007/s11253-010-0372-0

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