On a generalized product of certain sequences
type: Item
instance of: scholarly article
title: On a generalized product of certain sequences
zbMATH Open document ID: 0855.40001
author: P. N. Natarajan
published in: Indian Journal of Pure \& Applied Mathematics
publication date: 1996-04-28T00:00:00Z
review text: The author considers a generalized product of two sequences containing as a special case both the Cauchy product and the Dirichlet product of two sequences. In the main results (Theorems 1 and 2) he characterizes the closedness of that product in \(\ell_\infty (p)\) and \(c_0 (p)\), respectively, where \(p= (p_n)\) is a sequence of positive real numbers. The results in the special cases of the Cauchy product and the Dirichlet product due to \textit{I. J. Maddox} and \textit{M. A. L. Willey} [Indian J. Math. 16, 23-31 (1974; Zbl 0352.46007)] are discussed in Corollaries 1 through 4.
reviewed by: Johann Boos
Mathematics Subject Classification ID: 40A05
Mathematics Subject Classification ID: 46A45
zbMATH DE Number: 871082
zbMATH Keywords: product of sequences
zbMATH Keywords: Cauchy product
zbMATH Keywords: Dirichlet product
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 871082