On the convergence of weighted mean summable improper integrals over R?0

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dc.authorid0000-0002-8053-9991
dc.contributor.authorSezer, Sefa Anıl
dc.contributor.authorÇanak, İbrahim
dc.date.accessioned2025-05-10T19:48:15Z
dc.date.issued2023
dc.departmentİstanbul Medeniyet Üniversitesi
dc.description.abstractGiven a real-valued function a(x) which is locally integrable in the sense of Lebesgue Rover R->= 0, we obtain Tauberian conditions for the convergence of the integral integral(infinity)(0)a(t)dt out of the weighted mean summability. Furthermore, we discuss summability of improper integrals via iterations of weighted means and provide corresponding Tauberian theorems.
dc.identifier.doi10.1007/s41478-022-00501-2
dc.identifier.endpage1039
dc.identifier.issn0971-3611
dc.identifier.issn2367-2501
dc.identifier.issue2
dc.identifier.scopus2-s2.0-85138354952
dc.identifier.scopusqualityQ2
dc.identifier.startpage1029
dc.identifier.urihttps://doi.org/10.1007/s41478-022-00501-2
dc.identifier.urihttps://hdl.handle.net/20.500.14730/11651
dc.identifier.volume31
dc.identifier.wosWOS:000857474300001
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherSpringernature
dc.relation.ispartofJournal of Analysis
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_WOS_20250302
dc.subjectWeighted mean summability of integrals
dc.subjectLebesgue integral
dc.subjectImproper integrals over R->= 0
dc.subjectTauberian conditions
dc.subjectIterated weighted means
dc.subjectForward and backward differences
dc.titleOn the convergence of weighted mean summable improper integrals over R?0
dc.typeArticle

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