A note on series and sequences
type: Item
instance of: scholarly article
title: A note on series and sequences
zbMATH Open document ID: 0628.40002
author: D. Rath
published in: Indian Journal of Pure \& Applied Mathematics
publication date: 1987-01-01T00:00:00Z
review text: A classical theorem by Pringsheim asserts that if \((a_ n)\) is nonnegative, nonincreasing and if \(\sum a_ n\) converges, then \(na_ n\to 0\), as \(n\to \infty\). In this note, some extensions and improvements of this result are considered which are then used to derive some properties of hyperconvex sequences analogous to those for convex sequences.
Mathematics Subject Classification ID: 40A05
zbMATH DE Number: 4021796
zbMATH Keywords: hyperconvex sequences
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4021796