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Estimates of singular numbers of a Hilbert–Schmidt integral operator

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Abstract

We consider the estimates for singular numbers of a Hilbert–Schmidt integral operator in terms of the continuity moduli of its kernel.

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Authors and Affiliations

  1. National University of Food Technologies, 68, Vladimirskaya Str., Kiev, Ukraine

    Elena I. Radzievska

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  1. Elena I. Radzievska
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Correspondence to Elena I. Radzievska.

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Translated from Ukrains’kiĭ Matematychnyĭ Visnyk, Vol. 9, No. 1, pp. 114–124, January–February, 2012.

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Radzievska, E.I. Estimates of singular numbers of a Hilbert–Schmidt integral operator. J Math Sci 183, 835–842 (2012). https://doi.org/10.1007/s10958-012-0844-x

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  • DOI: https://doi.org/10.1007/s10958-012-0844-x

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