A criterion for the contiguity of quasiconcave functions
type: Item
instance of: scholarly article
title: A criterion for the contiguity of quasiconcave functions
zbMATH Open document ID: 1031.26012
DOI: 10.1023/A:1012991229871
author: A. S. Titenkov
author: V. I. Ovchinnikov
published in: Mathematical Notes
publication date: 2003-06-15T00:00:00Z
review text: As is known, a function \(\varphi(t)\) on the semi-infinite interval \([0,\infty)\) is said to be quasiconcave if \(\varphi(0)= 0\), \(\varphi(t)\) is positive and increases for \(t> 0\), and the function \(\varphi(t)/t\) decreases for \(t> 0\). Using linear-constant step-functions, the authors find a new description of the classification of quasiconcave functions. This criterion is obtained in terms of nodes of the corresponding linear-constant step-functions. It turns out that nodes must be equivalent to sequences.
Mathematics Subject Classification ID: 26A51
Mathematics Subject Classification ID: 46E30
Mathematics Subject Classification ID: 46M35
zbMATH DE Number: 1927810
zbMATH Keywords: linear-constant step-functions
zbMATH Keywords: quasiconcave functions
reviewed by: Messoud Efendiev
MaRDI profile type: Publication
full work available at URL: a:1012991229871
OpenAlex ID: W166146016
description: scientific article; zbMATH DE number 1927810