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Information complexity of weakly singular integral equations

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Abstract

We establish the exact power order of information complexity for integral equations whose kernels have power singularities and free terms belong to the corresponding Hölder space.

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References

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Authors and Affiliations

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

    S. V. Pereverzev & K. Sh. Makhkamov

Authors
  1. S. V. Pereverzev
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  2. K. Sh. Makhkamov
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Additional information

Translated from Ukrainskii Matematicheskii Zhurnal, Vol.46, No. 11, pp. 1527–1533, November, 1994.

This work was supported by the Foundation for Fundamental Researches of the Ukrainian State Committee on Science and Technology.

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Pereverzev, S.V., Makhkamov, K.S. Information complexity of weakly singular integral equations. Ukr Math J 46, 1688–1694 (1994). https://doi.org/10.1007/BF01058886

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  • DOI: https://doi.org/10.1007/BF01058886

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