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dc.contributor.authorBondarenko, A. V.
dc.contributor.authorPrymak, A.
dc.contributor.authorRadchenko, D.
dc.date.accessioned2016-09-22T10:46:38Z
dc.date.available2016-09-22T10:46:38Z
dc.date.issued2013-06-10
dc.identifier.urihttp://publications.mfo.de/handle/mfo/198
dc.descriptionOWLF 2013en_US
dc.description.abstractPippenger ([Pip77]) showed the existence of (6m, 4m, 3m, 6)-concentrator for each positive integer m using a probabilistic method. We generalize his approach and prove existence of (6m, 4m, 3m, 5.05)-concentrator (which is no longer regular, but has fewer edges). We apply this result to improve the constant of approximation of almost additive set functions by additive set functions from 44.5 (established by Kalton and Roberts in [KR83]) to 39. We show a more direct connection of the latter problem to the Whitney type estimate for approximation of continuous functions on a cube in Rd by linear functions, and improve the estimate of this Whitney constant from 802 (proved by Brudnyi and Kalton in [BK00]) to 73.en_US
dc.language.isoenen_US
dc.publisherMathematisches Forschungsinstitut Oberwolfachen_US
dc.relation.ispartofseriesOberwolfach Preprints;2013,14
dc.subjectProbabilistic Methoden_US
dc.subjectConcentrator Graphsen_US
dc.subjectAdditive Set Functionsen_US
dc.subjectWhitney Constanten_US
dc.titleOn Concentrators and Related Approximation Constantsen_US
dc.typePreprinten_US
dc.rights.licenseDieses Dokument darf im Rahmen von § 53 UrhG zum eigenen Gebrauch kostenfrei heruntergeladen, gelesen, gespeichert und ausgedruckt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden.de
dc.rights.licenseThis document may be downloaded, read, stored and printed for your own use within the limits of § 53 UrhG but it may not be distributed via the internet or passed on to external parties.en
dc.identifier.doi10.14760/OWP-2013-14
local.scientificprogramOWLF 2013
local.series.idOWP-2013-14
local.subject.msc41
local.subject.msc46
local.subject.msc05
dc.identifier.urnurn:nbn:de:101:1-2013061117564
dc.identifier.ppn165244517X


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