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Information Complexity of Multidimensional Fredholm Integral Equations with Harmonic Coefficients

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Abstract

For the class of multidimensional Fredholm integral equations with free terms and kernels periodic and harmonic in each variable, we determine the exact order of the minimum radius of information in the logarithmic scale.

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REFERENCES

  1. J. F. Traub and H. Woźniakowski, A General Theory of Optimal Algorithms, Academic Press, New York (1980).

    Google Scholar 

  2. L. V. Kantorovich and G. P. Akilov, Functional Analysis [in Russian], Nauka, Moscow (1977).

    Google Scholar 

  3. K. Frank, S. Heinrich, and S. V. Pereverzev, “Information complexity of multidimensional Fredholm integral equations in Sobolev classes,” J. Complexity, 12, 17–34 (1996).

    Google Scholar 

  4. V. M. Tikhomirov, Some Problems in Approximation Theory [in Russian], Moscow University, Moscow (1976).

    Google Scholar 

  5. S. V. Pereverzev and M. Azizov, “Optimal methods for specifying information in the solution of integral equations with analytic kernels,” Ukr. Mat. Zh., 48, No.5, 656–664 (1996).

    Google Scholar 

  6. A. Pietsch, Operator Ideals, North-Holland (1980).

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Azizov, M. Information Complexity of Multidimensional Fredholm Integral Equations with Harmonic Coefficients. Ukrainian Mathematical Journal 52, 993–1001 (2000). https://doi.org/10.1023/A:1005214229936

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  • DOI: https://doi.org/10.1023/A:1005214229936

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