Tauberian theorems for iterations of weighted mean summable integrals

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dc.contributor.authorOzsarac, Firat
dc.contributor.authorCanak, Ibrahim
dc.date.accessioned2020-06-25T18:34:20Z
dc.date.available2020-06-25T18:34:20Z
dc.date.issued2019
dc.departmentKırıkkale Üniversitesi
dc.descriptionCanak, Ibrahim/0000-0002-1754-1685
dc.description.abstractLet p be a positive weight function on which is integrable in Lebesgue's sense over every finite interval in symbol: such that for each and For a real- valued function and denote. But the converse of this implication is not true in general. In this paper, we obtain some Tauberian theorems for the weighted mean method of integrals in order that the converse implication holds true. Our results extend and generalize some classical type Tauberian theorems given for Cesaro and logarithmic summability methods of integrals. we say that iteration of weighted mean method determined by the function integrable to a finite number L and we write s(the existence of the limit limx.8 But the converse of this implication is not true in general. In this paper, we obtain some Tauberian theorems for the weighted mean method of integrals in order that the converse implication holds true. Our results extend and generalize some classical type Tauberian theorems given for Cesaro and logarithmic summability methods of integrals.en_US
dc.identifier.citationclosedAccessen_US
dc.identifier.doi10.1007/s11117-018-0603-4
dc.identifier.endpage231en_US
dc.identifier.issn1385-1292
dc.identifier.issn1572-9281
dc.identifier.issue1en_US
dc.identifier.scopus2-s2.0-85050218428
dc.identifier.scopusqualityQ2
dc.identifier.startpage219en_US
dc.identifier.urihttps://doi.org/10.1007/s11117-018-0603-4
dc.identifier.urihttps://hdl.handle.net/20.500.12587/7871
dc.identifier.volume23en_US
dc.identifier.wosWOS:000458123500016
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherSpringeren_US
dc.relation.ispartofPositivity
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectTauberian theorems and conditionsen_US
dc.subjectWeighted mean method of integralsen_US
dc.subjectSlowly decreasing functionsen_US
dc.subjectSlowly oscillating functionsen_US
dc.titleTauberian theorems for iterations of weighted mean summable integralsen_US
dc.typeArticle

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