An intermediate value theorem for sequences with terms in a finite set

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dc.creatorCaragiu, Mihai
dc.creatorRobinson, Laurence D.
dc.date2005-09-23
dc.date.accessioned2026-07-07T06:18:49Z
dc.date.available2026-07-07T06:18:49Z
dc.descriptionWe prove an intermediate value theorem of an arithmetical flavor, involving the consecutive averages of sequences with terms in a given finite set A. For every such set we completely characterize the numbers x ("intermediate values") with the property that the consecutive averages of every sequence with terms in A cannot increase from a value less than x to a value greater than x without taking the value x somewhere in between.
dc.description13 pages
dc.identifierhttps://arxiv.org/abs/math/0509537
dc.identifierhttp://arxiv.org/abs/math/0509537
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/94866
dc.subjectGeneral Mathematics
dc.subject11B99; 26D15
dc.titleAn intermediate value theorem for sequences with terms in a finite set
dc.typetext

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