On Dini derivatives of real functions

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dc.contributor.areamathematicsen_US
dc.contributor.authorFonda, Alessandro
dc.contributor.authorKlun, Giuliano
dc.contributor.authorSfecci, Andrea
dc.date.accessioned2021-03-01T13:14:07Z
dc.date.available2021-03-01T13:14:07Z
dc.date.issued2021
dc.descriptionSISSA 9/2021/MATEen_US
dc.description.abstractFor a continuous function f, the set Vf made of those points where the lower left derivative is strictly less than the upper right derivative is totally disconnected. Besides continuity, alternative assumptions are proposed so to preserve this property. On the other hand, we construct a function f whose set Vf coincides with the entire domain, and nevertheless f is continuous on an infinite set, possibly having infinitely many cluster points. Some open problems are proposed.en_US
dc.identifier.urihttps://openscience.sissa.it/handle/1963/35426
dc.language.isoenen_US
dc.titleOn Dini derivatives of real functionsen_US
dc.typeArticleen_US
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