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Optimal recovery of an analytic function in a doubly connected domain from its approximately given boundary values

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Abstract

We study the problem of optimal recovery of a function analytic in a doubly connected domain from its approximately given values on one of the two components of the boundary. An optimal recovery method is obtained in the case when the error is an integer power of the modulus of the doubly connected domain.

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Authors and Affiliations

  1. Ozersk Institute of Technology, National Research Nuclear University MEPhI, Ozersk, 456783, Russia

    R. R. Akopyan

  2. Ural Federal University, Yekaterinburg, 620000, Russia

    R. R. Akopyan

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  1. R. R. Akopyan
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Correspondence to R. R. Akopyan.

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Original Russian Text © R.R.Akopyan, 2015, published in Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2015, Vol. 21, No. 4.

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Akopyan, R.R. Optimal recovery of an analytic function in a doubly connected domain from its approximately given boundary values. Proc. Steklov Inst. Math. 296 (Suppl 1), 13–18 (2017). https://doi.org/10.1134/S008154381702002X

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  • DOI: https://doi.org/10.1134/S008154381702002X

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