Geodesic
Matrix Transformations Based on Dirichlet Convolution
Canadian mathematical bulletin, Tome 40 (1997) no. 4, pp. 498-508

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DOI

This paper is a study of summability methods that are based on Dirichlet convolution. If f(n) is a function on positive integers and x is a sequence such that then x is said to be Af-summable to L. The necessary and sufficient condition for the matrix Af to preserve bounded variation of sequences is established. Also, the matrix Af is investigated as l − l and G − G mappings. The strength of the Af -matrix is also discussed.
DOI : 10.4153/CMB-1997-059-6
Mots-clés : 11A25, 40A05, 40C05, 40D05 
Selvaraj, Chikkanna; Selvaraj, Suguna. Matrix Transformations Based on Dirichlet Convolution. Canadian mathematical bulletin, Tome 40 (1997) no. 4, pp. 498-508. doi: 10.4153/CMB-1997-059-6
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     title = {Matrix {Transformations} {Based} on {Dirichlet} {Convolution}},
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     pages = {498--508},
     year = {1997},
     volume = {40},
     number = {4},
     doi = {10.4153/CMB-1997-059-6},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1997-059-6/}
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