Strongly almost summable and strongly almost convergent sequences
type: Item
instance of: scholarly article
title: Strongly almost summable and strongly almost convergent sequences
zbMATH Open document ID: 0658.40008
DOI: 10.1007/BF01956311
published in: Acta Mathematica Hungarica
publication date: 1987-01-01T00:00:00Z
review text: The author introduces here a new definition of strong almost summability. In contrast to an earlier alternative definition given by the author in J. Austral. Math. Soc., 22 A, 446-455 (1976; Zbl 0346.46006) the present definition is capable of covering the definition of strong almost convergence introduced by \textit{I. J. Maddox} [Math. Proc. Camb. Philos. Soc. 83, 61-64 (1978; Zbl 0392.40001)]. Certain properties of the spaces of strongly almost summable sequences have been studied. In J. Indian Math. Soc., 40, 173-184 (1976; Zbl 0445.40003) the author has extended the spaces \(\hat c\) of all almost convergent sequences and \(\hat c_ 0\) of all sequences which are almost-convergent to zero to \(\hat c(p)\) and \(\hat c_ 0(p)\). The author generalises these spaces by using infinite matrices.
Mathematics Subject Classification ID: 40C99
Mathematics Subject Classification ID: 40F05
Mathematics Subject Classification ID: 40D09
zbMATH DE Number: 4075713
zbMATH Keywords: strongly almost summable sequences
zbMATH Keywords: almost convergent sequences
author: Sudarsan Nanda
reviewed by: H. P. Dikshit
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4075713