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
J. F. Traub and H. Woźniakowski, A General Theory of Optimal Algorithms, Academic Press, New York (1980).
L. V. Kantorovich and G. P. Akilov, Functional Analysis [in Russian], Nauka, Moscow (1977).
K. Frank, S. Heinrich, and S. V. Pereverzev, “Information complexity of multidimensional Fredholm integral equations in Sobolev classes,” J. Complexity, 12, 17–34 (1996).
V. M. Tikhomirov, Some Problems in Approximation Theory [in Russian], Moscow University, Moscow (1976).
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).
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