2019
Том 71
№ 7

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Two theorems in the theory of summation of numerical series by lower triangular positive monotone matrices

Davydov N. A.

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Abstract

For so-called monotone matrices, we establish necessary and sufficient conditions for the summation with them of some divergent sequences of 0 and 1 up to zero or some unbounded sequences of nonnegative numbers.

English version (Springer): Ukrainian Mathematical Journal 51 (1999), no. 4, pp 618-621.

Citation Example: Davydov N. A. Two theorems in the theory of summation of numerical series by lower triangular positive monotone matrices // Ukr. Mat. Zh. - 1999. - 51, № 4. - pp. 553-555.

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