A short proof of the generalized Littlewood Tauberian theorem
type: Item
instance of: scholarly article
title: A short proof of the generalized Littlewood Tauberian theorem
zbMATH Open document ID: 1202.40004
author: İbrahím Çanak
published in: Applied Mathematics Letters
publication date: 2010-06-09T00:00:00Z
review text: The author gives an elegant alternative proof of the generalized Littlewood Tauberian theorem for the Abel summability method. In the proof the author uses a corollary to \textit{J. Karamata}'s main result from [``Über die Hardy-Littlewoodschen Umkehrungen des Abelschen Stetigkeitssatzes'', M. Z. 32, 319--320 (1930; JFM 56.0210.01)].
reviewed by: Edward Omey
Mathematics Subject Classification ID: 40E05
Mathematics Subject Classification ID: 40G10
Mathematics Subject Classification ID: 26A12
zbMATH DE Number: 5718426
zbMATH Keywords: Abel summability
zbMATH Keywords: Tauberian theorem
zbMATH Keywords: slow oscillation
MaRDI profile type: Publication
full work available at URL: j.aml.2010.03.017
OpenAlex ID: W2053897199
cites work: Q4815781
DOI: 10.1016/J.AML.2010.03.017
description: scientific article; zbMATH DE number 5718426