dc.contributor.author
Hardtke, Jan-David
dc.date.accessioned
2018-06-08T08:02:05Z
dc.date.available
2014-07-16T08:39:20.649Z
dc.identifier.uri
https://refubium.fu-berlin.de/handle/fub188/19226
dc.identifier.uri
http://dx.doi.org/10.17169/refubium-22888
dc.description.abstract
We extend the well-known Rainwater-Simons convergence theorem to various
generalized convergence methods such as strong matrix summability, statistical
convergence and almost convergence. In fact we prove these theorems not only
for boundaries but for the more general notion of (I)-generating sets
introduced by Fonf and Lindenstrauss.
de
dc.relation.ispartofseries
urn:nbn:de:kobv:188-fudocsseries000000000226-9
dc.rights.uri
http://www.fu-berlin.de/sites/refubium/rechtliches/Nutzungsbedingungen
dc.subject
(I)-generating sets
dc.subject
Rainwater's theorem
dc.subject
Simons' equality
dc.subject
strong matrix summability
dc.subject
statistical convergence
dc.subject
statistically pre-Cauchy sequence
dc.subject
almost convergence
dc.subject.ddc
500 Naturwissenschaften und Mathematik::510 Mathematik
dc.title
Rainwater-Simons-type convergence theorems for generalized convergence methods
refubium.affiliation
Mathematik und Informatik
de
refubium.affiliation.other
Institut für Mathematik
refubium.mycore.fudocsId
FUDOCS_document_000000020602
refubium.mycore.reportnumber
A /12/2010
refubium.series.issueNumber
Preprints, Serie A: Mathematik
refubium.series.name
Freie Universität Berlin, Fachbereich Mathematik und Informatik
refubium.series.reportNumber
A /12/2010
refubium.mycore.derivateId
FUDOCS_derivate_000000003710
dcterms.accessRights.openaire
open access
