Semicontinuity conditions and monotonicity
type: Item
instance of: scholarly article
title: Semicontinuity conditions and monotonicity
zbMATH Open document ID: 0694.26005
author: Vasile Ene
published in: Real Analysis Exchange
publication date: 1989-01-01T00:00:00Z
review text: This lengthy paper includes twelve theorems, among which Theorems 7, 8, 9 and 12 are directly devoted to the monotonicity of real functions defined on the unit interval. The rest deals with numerous classes, some of which are well known (e.g. Darboux functions, \(T_ 1\), \(T_ 2\), VB, VBG, AC, ACG, and so on) and some are introduced by the author (e.g. \(C_ i\), \(C_ d\), Darboux-). The main results are stronger than a classical theorem of Bruckner and Świątkowski.
Mathematics Subject Classification ID: 26A48
Mathematics Subject Classification ID: 26A21
Mathematics Subject Classification ID: 26A24
Mathematics Subject Classification ID: 26A15
zbMATH DE Number: 4136263
zbMATH Keywords: semicontinuity
zbMATH Keywords: lower internal functions
zbMATH Keywords: monotonicity
zbMATH Keywords: Darboux functions
reviewed by: Jerzy Niewiarowski
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 4136263