Title: Hölder-continuity of certain generalized convex functions
Abstract: It is proved that for a rationally s-convex function continuity and local s-Hölder - Continuity are equivalent at each interior point of the domain of definition of the function. Furthermore, it is shown that a rationally s-convex function which is bounded on a nonempty open convex set is s-Hölder-continuous on every compact subset of this set.
Publication Year: 1994
Publication Date: 1994-01-01
Language: en
Type: article
Indexed In: ['crossref']
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Cited By Count: 12
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