Periodic Korovkin Theorem via $P_{p}^{2}$-Statistical $\mathcal{A}$-Summation Process

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dc.contributor.authorYildiz, Sevda
dc.contributor.authorDirik, Fadime
dc.contributor.authorDemirci, Kamil
dc.date.accessioned2025-03-23T18:54:55Z
dc.date.available2025-03-23T18:54:55Z
dc.date.issued2022
dc.departmentSinop Üniversitesi
dc.description.abstractIn the current research, we investigate and establish Korovkin-type approximation theorems for linear operators defined on the space of all $% 2\pi $-periodic and real valued continuous functions on $% %TCIMACRO{\U{211d} }% %BeginExpansion \mathbb{R} %EndExpansion ^{2}$ by means of $\mathcal{A}$-summation process via statistical convergence with respect to power series method. We demonstrate with an example how our theory is more strong than previously studied. Additionally, we research the rate of convergence of positive linear operators defined on this space.
dc.identifier.doi10.32323/ujma.1205420
dc.identifier.doihttps://doi.org/10.32323/ujma.1205420
dc.identifier.endpage162
dc.identifier.issn2619-9653
dc.identifier.issue4
dc.identifier.startpage156
dc.identifier.urihttps://hdl.handle.net/11486/2355
dc.identifier.volume5
dc.language.isoen
dc.publisherEmrah Evren KARA
dc.relation.ispartofUniversal Journal of Mathematics and Applications
dc.relation.publicationcategoryMakale - Ulusal Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_DergiPark_20250323
dc.subjectKorovkin theorem
dc.subjectperiodic functions
dc.subjectpower series method
dc.subjectrates of convergence
dc.subjectstatistical convergence
dc.titlePeriodic Korovkin Theorem via $P_{p}^{2}$-Statistical $\mathcal{A}$-Summation Process
dc.typeArticle

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