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 On the continuity of functions
Please use this identifier to cite or link to this item http://hdl.handle.net/10773/4148

title: On the continuity of functions
authors: Almeida, R
keywords: Nonstandard Analysis
Convex functions
Compact Set
Convex Set
issue date: 2007
publisher: Balkan Society of Geometers
abstract: Some theorems on continuity are presented. First we will prove that every convex function f :Rn -> R is continuous using nonstandard analysis methods. Then we prove that if the image of every compact (resp. convex) is compact (resp. convex), then the function is continuous.
URI: http://hdl.handle.net/10773/4148
ISSN: 1454-5101
source: Applied Sciences
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