Some properties of the \(Y\)-method of summability in complete ultrametric fields
type: Item
instance of: scholarly article
title: Some properties of the \(Y\)-method of summability in complete ultrametric fields
zbMATH Open document ID: 1008.40003
author: P. N. Natarajan
published in: Annales Mathématiques Blaise Pascal
publication date: 2003-03-26T00:00:00Z
full work available at URL: http://www.numdam.org/item
full work available at URL: https://eudml.org/doc/79244
review text: The \(Y\)-method of summability is defined by means of an infinite matrix of the form \(Y=(\alpha^{j}_{i})\), with \(\alpha^{j}_{i}=\lambda_{i-j}\), where \({\lambda_{n}}\) is a bounded sequence in a complete ultrametric field. The paper gives some results regarding the \(Y\)-summability in complete ultrametric fields. One of the \(Y\)-summability results presented in the paper (Theorem 3) in particular illustrates a situation where absolute convergence in classical analysis is effectively replaced by ordinary convergence in non-Archimedian analysis.
reviewed by: Vasile Berinde
Mathematics Subject Classification ID: 40D15
Mathematics Subject Classification ID: 46S10
zbMATH DE Number: 1805822
zbMATH Keywords: \(Y\)-summability
zbMATH Keywords: complete ultrametric field
zbMATH Keywords: \(p\)-adic field
zbMATH Keywords: summability factors
MaRDI profile type: Publication
OpenAlex ID: W2317623511
cites work: Q5587233
cites work: Q4858391
cites work: Lectures on summability
cites work: Q5336444
DOI: 10.5802/AMBP.151
description: scientific article; zbMATH DE number 1805822