Some inclusion theorems for absolute summability |
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| Authors: | Ants Aasma |
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| Affiliation: | Department of Economics, Tallinn University of Technology, Akadeemia Road 3-456, 12618 Tallinn, Estonia |
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| Abstract: | In this work the inclusion relations between absolute summability domains of a normal matrix A and certain factorable matrices are described. Thus, some classes of factorable matrices transforming the absolute summability domain of A into a set of convergent or absolutely convergent series are characterized. As an application, the special case where A is the Cesàro matrix is considered. |
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| Keywords: | Matrix transformation Inclusion of absolute summability domains of matrices Factorable matrices Summability method of Cesà ro |
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