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On finite-dimensional approximation of solutions of ill-posed problems

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Ukrainian Mathematical Journal Aims and scope

Abstract

We show that the modified method for finite-dimensional approximation of solutions of Fredholm integral equations of the first kind presented in this paper is more economical than traditional methods for finite-dimensional approximation.

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References

  1. V. K. Ivanov, V. V. Vasin, and V. P. Tanana, The Theory of Linear Ill-Posed Problems and Its A Applications [in Russian], Nauka, Moscow (1978).

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  2. G. Vainikko, Methods for the Solution of Linear Ill-Posed Problems in Hilbert Spaces [in Russian], Tartu University Press, Tartu (1982).

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Authors
  1. A. N. Urumbaev
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Additional information

Institute of Mathematies, Ukrainian Academy of Science, Kiev. Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 49, No. 2, pp. 289–295, February, 1997.

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Urumbaev, A.N. On finite-dimensional approximation of solutions of ill-posed problems. Ukr Math J 49, 320–326 (1997). https://doi.org/10.1007/BF02486445

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  • DOI: https://doi.org/10.1007/BF02486445

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