Canadian Mathematical Society www.cms.math.ca
 location:  Publications → journals
Search results

Search: MSC category 40C05 ( Matrix methods )

 Expand all        Collapse all Results 1 - 1 of 1

1. CMB 1997 (vol 40 pp. 498)

Selvaraj, Chikkanna; Selvaraj, Suguna
 Matrix transformations based on Dirichlet convolution 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 $\lim_{n\to \infty} \sum_{k\le n} {1\over k}(f\ast x)(k) =L$, then $x$ is said to be {\it $A_f$-summable\/} to $L$. The necessary and sufficient condition for the matrix $A_f$ to preserve bounded variation of sequences is established. Also, the matrix $A_f$ is investigated as $\ell - \ell$ and $G-G$ mappings. The strength of the $A_f$-matrix is also discussed. Categories:11A25, 40A05, 40C05, 40D05

© Canadian Mathematical Society, 2015 : https://cms.math.ca/