Solution of a problem of S. Marcus concerning J-convex functions

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F47813059%3A19610%2F02%3A00000094" target="_blank" >RIV/47813059:19610/02:00000094 - isvavai.cz</a>

Result on the web

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DOI - Digital Object Identifier

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Result language

angličtina

Original language name

Solution of a problem of S. Marcus concerning J-convex functions

Original language description

This paper is devoted to the problem of characterizing the class $scr S$ of stationary sets for $J$-convex functions $DeltatoBbb R$, where $Delta$ is a convex open subset of ${Bbb R}^n$ We prove, among other things, that a set $T$ belongs to the class $scr S$ if and only if $T$ satisfies two conditions: the closure of the convex hull of $T$ in the relative topology is the whole set $Delta$, and each $J$-convex function bounded above on $T$ is continuous.

Czech name

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Czech description

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Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BA - General mathematics

OECD FORD branch

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Project

Result was created during the realization of more than one project. More information in the Projects tab.

Continuities

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year

2002

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Aequationes Mathematicae

ISSN

ISSN0001-9054

e-ISSN

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Volume of the periodical

63

Issue of the periodical within the volume

1

Country of publishing house

CH - SWITZERLAND

Number of pages

4

Pages from-to

136-139

UT code for WoS article

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EID of the result in the Scopus database

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