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Approximation method in problems of potential theory

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Abstract

We investigate the properties of the Dzyadyk approximation method in the case of a binomial function. We study conditions under which an estimate for the relative error of approximation in the uniform metric is exact. The results obtained are applied to certain problems in potential theory.

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References

  1. V. K. Dzyadyk, “A method for the approximation of solutions of linear differential equations by algebraic polynomias”,Izv. Akad. Nauk SSSR, Ser. Mat.,38, No. 4, 937–967 (1974).

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Authors
  1. E. S. Sinaiskii
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Additional information

Ukrainian National Mining Academy, Dnepropetrovsk. Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 52, No. 6, pp. 773–782, June, 2000.

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Sinaiskii, E.S. Approximation method in problems of potential theory. Ukr Math J 52, 886–897 (2000). https://doi.org/10.1007/BF02591783

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  • DOI: https://doi.org/10.1007/BF02591783

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