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

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Bibliographic Details
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]
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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]
ISSN:13926292
DOI:10.3846/1392-6292.2010.15.153-160