On sequences of monotone functions
type: Item
instance of: scholarly article
title: On sequences of monotone functions
zbMATH Open document ID: 0941.26008
published in: Real Analysis Exchange
publication date: 2000-05-21T00:00:00Z
review text: Several kinds of convergence (pointwise, uniform, a.c., transfinite) of monotone functions are studied. Namely, the author shows how an increasing function \(f:[a,b]\to \mathbb R\) can be expressed as a limit of certain sequences of monotone functions \(f_n\) converging to \(f\) in various senses.
Mathematics Subject Classification ID: 26A48
Mathematics Subject Classification ID: 26A15
Mathematics Subject Classification ID: 26A21
zbMATH DE Number: 1449531
zbMATH Keywords: continuity
zbMATH Keywords: monotone functions
zbMATH Keywords: convergence
zbMATH Keywords: monotone convergence
zbMATH Keywords: transfinite convergence
zbMATH Keywords: variation
author: Zbigniew Grande
reviewed by: Petr Gurka
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1449531