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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Main Author: Ants Aasma
Format: Article
Language:English
Published: Vilnius Gediminas Technical University 2010-04-01
Series:Mathematical Modelling and Analysis
Subjects:
Online Access:https://journals.vgtu.lt/index.php/MMA/article/view/5989
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spelling doaj-cbac4f00bcfc4e6ab6a33c9f54cd710a2021-07-02T10:07:42ZengVilnius Gediminas Technical UniversityMathematical Modelling and Analysis1392-62921648-35102010-04-0115210.3846/1392-6292.2010.15.153-160Some notes on matrix transforms of summability domains of Cesàro matricesAnts Aasma0Tallinn University of Technology, Department of Economics Akadeemia tee 3, 12618, Tallinn, Estonia 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 https://journals.vgtu.lt/index.php/MMA/article/view/5989matrix transformationssummability method of Cesàro
collection DOAJ
language English
format Article
sources DOAJ
author Ants Aasma
spellingShingle Ants Aasma
Some notes on matrix transforms of summability domains of Cesàro matrices
Mathematical Modelling and Analysis
matrix transformations
summability method of Cesàro
author_facet Ants Aasma
author_sort Ants Aasma
title Some notes on matrix transforms of summability domains of Cesàro matrices
title_short Some notes on matrix transforms of summability domains of Cesàro matrices
title_full Some notes on matrix transforms of summability domains of Cesàro matrices
title_fullStr Some notes on matrix transforms of summability domains of Cesàro matrices
title_full_unstemmed Some notes on matrix transforms of summability domains of Cesàro matrices
title_sort some notes on matrix transforms of summability domains of cesàro matrices
publisher Vilnius Gediminas Technical University
series Mathematical Modelling and Analysis
issn 1392-6292
1648-3510
publishDate 2010-04-01
description 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
topic matrix transformations
summability method of Cesàro
url https://journals.vgtu.lt/index.php/MMA/article/view/5989
work_keys_str_mv AT antsaasma somenotesonmatrixtransformsofsummabilitydomainsofcesaromatrices
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