Ukrainian Mathematical Journal

, Volume 31, Issue 3, pp 244–246 | Cite as

Interpolation of hermite type in a class of xα-harmonic functions of given smoothness

  • V. L. Makarov
  • V. L. Burkovskaya
  • A. A. Klunnik
Brief Communications


Hermite Type 
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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Literature cited

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    E. A. Volkov, “Solution of the Dirichlet problem by the method of Improvement by means of higher-order differences. I,” Differents. Uravn.,1, No. 7, 946–961 (1965).Google Scholar
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    M. Marden, “Axisymmetric harmonic interpolation polynomials in RN,” Trans. Am. Math. Soc.,196, 385–402 (1974).Google Scholar
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    V. L. Makarov and V. L. Burkovskaya, “Solution of the Dirichlet problem for the generalized axisymmetric potential equation by the method of improvement by means of higher-order differences,” in: Accuracy and Reliability of Cybernetic Systems [in Russian], No. 3, Institute of Electrodynamics, Academy of Sciences of the Ukrainian SSR (1975), pp. 46–53.Google Scholar
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    S. M. Nikol'skii, “Boundary properties of functions defined on a region with angular points,” Mat. Sb.,43, No. 1, 127–144 (1957).Google Scholar
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    A. Weinstein, “Some applications of generalized axially symmetric potential theory to continuum mechanics,” in: Applications of the Theory of Functions to Continuum Mechanics, Vol. II, Nauka, Moscow (1965), pp. 440–454.Google Scholar
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    V. L. Burkovskaya, “Polynomial solution of the Dirichlet problem of generalized axisymmetric potential theory,” in: Computational and Applied Mathematics [in Russian], No. 33, Kiev. Univ. (1977), pp. 36–40.Google Scholar

Copyright information

© Plenum Publishing Corporation 1980

Authors and Affiliations

  • V. L. Makarov
    • 1
  • V. L. Burkovskaya
    • 1
  • A. A. Klunnik
    • 1
  1. 1.Kiev State UniversityUSSR

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