Statistical (C, 1) (E, 1) Summability and Korovkin's Theorem

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dc.contributor.authorAcar, Tuncer
dc.contributor.authorMohiuddine, S. A.
dc.date.accessioned2020-06-25T18:22:27Z
dc.date.available2020-06-25T18:22:27Z
dc.date.issued2016
dc.departmentKırıkkale Üniversitesi
dc.descriptionAcar, Tuncer/0000-0003-0982-9459; Mohiuddine, S. A./0000-0002-9050-9104
dc.description.abstractKorovkin-type approximation theory usually deals with convergence analysis for sequences of positive operators. This approximation theorem was extended to more general space of sequences via different way such as statistical convergence, summation processes. In this work, we introduce a new type of statistical product summability, that is, statistical (C, 1) (E, 1) summability and further apply our new product summability method to prove Korovkin type theorem. Furthermore, we present a rate of convergence which is uniform in Korovkin type theorem by statistical (C, 1) (E, 1) summability.en_US
dc.description.sponsorshipKing Abdulaziz University, Jeddah, Saudi Arabiaen_US
dc.description.sponsorshipThe authors gratefully acknowledge the financial support from King Abdulaziz University, Jeddah, Saudi Arabia.en_US
dc.identifier.citationclosedAccessen_US
dc.identifier.doi10.2298/FIL1602387A
dc.identifier.endpage393en_US
dc.identifier.issn0354-5180
dc.identifier.issue2en_US
dc.identifier.scopus2-s2.0-84974623726
dc.identifier.scopusqualityQ3
dc.identifier.startpage387en_US
dc.identifier.urihttps://doi.org/10.2298/FIL1602387A
dc.identifier.urihttps://hdl.handle.net/20.500.12587/6741
dc.identifier.volume30en_US
dc.identifier.wosWOS:000376573900015
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherUniv Nis, Fac Sci Mathen_US
dc.relation.ispartofFilomat
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectKorovkin theoremen_US
dc.subjectPositive linear operatorsen_US
dc.subjectStatistical convergenceen_US
dc.titleStatistical (C, 1) (E, 1) Summability and Korovkin's Theoremen_US
dc.typeArticle

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