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Some Notes on Matrix Transforms of Summability Domains of Cesàro Matrices.

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Title: Some Notes on Matrix Transforms of Summability Domains of Cesàro Matrices.
Authors: Aasma, A.1 ants.aasma@tseba.ttu.ee
Source: Mathematical Modelling & Analysis. 2010, Vol. 15 Issue 2, p153-160. 8p.
Subjects: Matrices (Mathematics), Matrix groups, Integral domains, Mathematical transformations, Summability theory, Mathematical sequences
Abstract: In this paper sufficient conditions for a matrix M = (mnk) (mnk are Cesàro numbers As n-k, s Є 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 Є C\{-1,-2, . . .}, are found. [ABSTRACT FROM AUTHOR]
Copyright of Mathematical Modelling & Analysis is the property of Vilnius Gediminas Technical University and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Data: Some Notes on Matrix Transforms of Summability Domains of Cesàro Matrices.
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  Data: <searchLink fieldCode="JN" term="%22Mathematical+Modelling+%26+Analysis%22">Mathematical Modelling & Analysis</searchLink>. 2010, Vol. 15 Issue 2, p153-160. 8p.
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  Data: <searchLink fieldCode="DE" term="%22Matrices+%28Mathematics%29%22">Matrices (Mathematics)</searchLink><br /><searchLink fieldCode="DE" term="%22Matrix+groups%22">Matrix groups</searchLink><br /><searchLink fieldCode="DE" term="%22Integral+domains%22">Integral domains</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematical+transformations%22">Mathematical transformations</searchLink><br /><searchLink fieldCode="DE" term="%22Summability+theory%22">Summability theory</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematical+sequences%22">Mathematical sequences</searchLink>
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  Data: In this paper sufficient conditions for a matrix M = (mnk) (mnk are Cesàro numbers As n-k, s Є 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 Є C\{-1,-2, . . .}, are found. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
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  Group: Ab
  Data: <i>Copyright of Mathematical Modelling & Analysis is the property of Vilnius Gediminas Technical University and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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        Value: 10.3846/1392-6292.2010.15.153-160
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      – SubjectFull: Matrix groups
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      – SubjectFull: Integral domains
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      – SubjectFull: Mathematical transformations
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      – SubjectFull: Summability theory
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      – SubjectFull: Mathematical sequences
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      – TitleFull: Some Notes on Matrix Transforms of Summability Domains of Cesàro Matrices.
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