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Optimal rates of convergence of some iterative approximation methods for the solution of fredholm equations in spaces of periodic analytic functions

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Abstract

We consider some classes of Fredholm equations with integral operators acting in spaces of periodic analytic functions. For these classes, we establish the exact order of the optimal rates of convergence for some versions of the method of iterative projections and KP methods.

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Authors and Affiliations

  1. Institute of Mathematics, Ukrainian Academy of Sciences, Kiev

    S. V. Pereverzev & M. Askarov

Authors
  1. S. V. Pereverzev
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  2. M. Askarov
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 46, No. 9, pp. 1208–1215, September, 1994.

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Pereverzev, S.V., Askarov, M. Optimal rates of convergence of some iterative approximation methods for the solution of fredholm equations in spaces of periodic analytic functions. Ukr Math J 46, 1327–1335 (1994). https://doi.org/10.1007/BF01059423

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  • DOI: https://doi.org/10.1007/BF01059423

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