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This article is cited in 1 scientific paper (total in 1 paper)
Summation of bounded sequences by regular positive matrices
N. A. Davydov Kiev State Pedagogic Institute, USSR
Abstract:
In terms of elements of regular positive discrete and semicontinuous matrices sufficient conditions are obtained that these matrices do not sum a given real,divergent, bounded sequence and, in particular, that the core of a given sequence coincides with the core of the sequence (function) transformed with the aid of a matrix. These conditions permit certain facts, some well-known and some new, on the theory of inefficient matrices to be obtained.
Received: 07.04.1972
Citation:
N. A. Davydov, “Summation of bounded sequences by regular positive matrices”, Mat. Zametki, 13:2 (1973), 179–188; Math. Notes, 13:2 (1973), 107–112
Linking options:
https://www.mathnet.ru/eng/mzm7087 https://www.mathnet.ru/eng/mzm/v13/i2/p179
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Abstract page: | 198 | Full-text PDF : | 98 | First page: | 1 |
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