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Theorems of Tauberian type for matrix transformations of double series

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Abstract

For a specific class of matrix transformations of a double numerical series there is established a theorem of Tauberian type with a large-0 condition on the matrices.

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Literature cited

  1. K. M. Slepenchuk, “Theorems of Tauberian type for matrix transformations,” Tr. Mat. Inst. Akad. Nauk SSSR,180, 200–201 (1987).

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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 43, No. 5, pp. 709–714, May, 1991.

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Slepenchuk, K.M. Theorems of Tauberian type for matrix transformations of double series. Ukr Math J 43, 662–667 (1991). https://doi.org/10.1007/BF01058557

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  • DOI: https://doi.org/10.1007/BF01058557

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