Please use this identifier to cite or link to this item: https://hdl.handle.net/20.500.11851/2942
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dc.contributor.authorAslan, İsmail-
dc.contributor.authorDuman, Oktay-
dc.date.accessioned2019-12-25T14:34:15Z
dc.date.available2019-12-25T14:34:15Z
dc.date.issued2019-03-
dc.identifier.citationAslan, I., & Duman, O. (2019). Summability on Mellin-type nonlinear integral operators. Integral Transforms and Special Functions, 30(6), 492-511.en_US
dc.identifier.issn1065-2469-
dc.identifier.urihttps://doi.org/10.1080/10652469.2019.1594209-
dc.identifier.urihttps://hdl.handle.net/20.500.11851/2942-
dc.description.abstractIn this study, approximation properties of the Mellin-type nonlinear integral operators defined on multivariate functions are investigated. In order to get more general results than the classical aspects, we mainly use the summability methods defined by Bell. Considering the Haar measure with variation semi-norm in Tonelli's sense, we approach to the functions of bounded variation. Similar results are also obtained for uniformly continuous and bounded functions. Using suitable function classes we investigate the rate of convergence in the approximation. Finally, we give a non-trivial application verifying our approach.en_US
dc.language.isoenen_US
dc.publisherTaylor and Francis Ltd.en_US
dc.relation.ispartofIntegral Transforms and Special Functionsen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectSummability processen_US
dc.subjectnonlinear integral operatorsen_US
dc.subjectconvolution-type integral operatorsen_US
dc.subjectMellin-type integral operatorsen_US
dc.subjectbounded variationen_US
dc.titleSummability on Mellin-Type Nonlinear Integral Operatorsen_US
dc.typeArticleen_US
dc.rights.holderThis is an Accepted Manuscript of an article published by Taylor & Francis in [Summability on Mellin-type nonlinear integral operators] on 20.03.2019, available online: http://www.tandfonline.com/10.1080/10652469.2019.1594209.en_US
dc.departmentFaculties, Faculty of Science and Literature, Department of Mathematicsen_US
dc.departmentFakülteler, Fen Edebiyat Fakültesi, Matematik Bölümüen_US
dc.identifier.volume30en_US
dc.identifier.issue6en_US
dc.identifier.startpage492en_US
dc.identifier.endpage511en_US
dc.authorid0000-0001-7779-6877-
dc.identifier.wosWOS:000461919900001-
dc.identifier.scopus2-s2.0-85063138584-
dc.institutionauthorDuman, Oktay-
dc.identifier.doi10.1080/10652469.2019.1594209-
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.identifier.scopusqualityQ3-
dc.identifier.wosqualityQ2-
item.fulltextWith Fulltext-
item.languageiso639-1en-
item.openairecristypehttp://purl.org/coar/resource_type/c_18cf-
item.cerifentitytypePublications-
item.openairetypeArticle-
item.grantfulltextopen-
crisitem.author.dept07.03. Department of Mathematics-
Appears in Collections:Matematik Bölümü / Department of Mathematics
Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection
WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection
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