Some notes on matrix transforms of summability domains of Cesàro matrices
In this paper sufficient conditions for a matrix M = (mnk ) (mnk are Cesàro numbers As n‐k, s ∈ C if k ≤ n and mnk= 0 if k > n) to be a transform from the summability domain of the Cesàro method Cα into the summability domain of another Cesàro method Cβ , where α, β ∈ C\{-1, -2,…}, are found....
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Format: | Article |
Language: | English |
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Vilnius Gediminas Technical University
2010-04-01
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Series: | Mathematical Modelling and Analysis |
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Online Access: | https://journals.vgtu.lt/index.php/MMA/article/view/5989 |
Summary: | In this paper sufficient conditions for a matrix M = (mnk ) (mnk are Cesàro numbers As n‐k, s ∈ C if k ≤ n and mnk= 0 if k > n) to be a transform from the summability domain of the Cesàro method Cα into the summability domain of another Cesàro method Cβ , where α, β ∈ C\{-1, -2,…}, are found.
First published online: 09 Jun 2011
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ISSN: | 1392-6292 1648-3510 |