Some new inequalities related to the invariant means and uniformly bounded function sequences
type: Item
instance of: scholarly article
title: Some new inequalities related to the invariant means and uniformly bounded function sequences
zbMATH Open document ID: 1136.40002
author: Celal Çakan
author: Hüsamettin Çoşkun
published in: Applied Mathematics Letters
publication date: 2007-05-04T00:00:00Z
review text: In 1930, R. P. Agnew characterized a class of triangular matrices \(A=\left( a_{nk}\right) \) with the property that the inequality \[ \limsup_{n}\sup_{x\in D}\sum_{k}a_{nk}f_{k}\left( x\right) \leq \limsup_{k}\sup_{x\in D}f_{k}\left( x\right) \] holds for function sequences \(\left( f_{k}\right) \) uniformly bounded on \(D.\) In the paper under review, some inequalities of this type are proved in the context of invariant means and statistical convergence.
Mathematics Subject Classification ID: 40C05
Mathematics Subject Classification ID: 46A45
Mathematics Subject Classification ID: 26E60
zbMATH DE Number: 5149461
zbMATH Keywords: invariant means
zbMATH Keywords: statistical convergence
zbMATH Keywords: matrix transformations
reviewed by: Toivo Leiger
MaRDI profile type: Publication
full work available at URL: j.aml.2006.08.004
OpenAlex ID: W2079069232
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cites work: Q4357147
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DOI: 10.1016/J.AML.2006.08.004
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description: scientific article; zbMATH DE number 5149461