Approximation Results on an Infinite Interval Based on Power Series Statistical Sense

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dc.contributor.authorYildiz, Sevda
dc.contributor.authorDemirci, Kamil
dc.contributor.authorDirik, Fadime
dc.date.accessioned2026-04-25T14:20:35Z
dc.date.available2026-04-25T14:20:35Z
dc.date.issued2025
dc.departmentSinop Üniversitesi
dc.description.abstractThis paper introduces a new approximation theorem, type of Korovkin, for positive linear operators (pLO) defined on the Banach space C-* [0, infinity) comprising all real-valued continuous functions on [0, infinity) that converge to a finite limit as their argument approaches infinity. By applying statistical convergence with respect to power series methods and employing the test functions 1, exp(-u) and exp(-2u), we derive a novel approximation result. Our findings demonstrate that the proposed method outperforms classical and statistical approaches, as illustrated by a concrete example. Furthermore, we explore the rate of convergence associated with this new approximation theorem.
dc.identifier.endpage24
dc.identifier.issn2035-6803
dc.identifier.orcid0000-0002-4730-2271
dc.identifier.scopus2-s2.0-105001519575
dc.identifier.scopusqualityN/A
dc.identifier.startpage17
dc.identifier.urihttps://hdl.handle.net/11486/8648
dc.identifier.volume18
dc.identifier.wosWOS:001460650900001
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherPadova Univ Press
dc.relation.ispartofDolomites Research Notes on Approximation
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_WOS_20260420
dc.subjectStatistical convergence
dc.subjectpower series method
dc.subjectKorovkin type theorem
dc.subjectrate of convergence
dc.titleApproximation Results on an Infinite Interval Based on Power Series Statistical Sense
dc.typeArticle

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