Approximation properties of a modified Szász-Mirakyan operator with enhanced convergence and comparative numerical examples

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dc.contributor.authorAnsari, Khursheed J.
dc.contributor.authorCivelek, Muhammet
dc.contributor.authorKunt, Mehmet
dc.contributor.authorUsta, Fuat
dc.date.accessioned2026-07-01T11:39:37Z
dc.date.available2026-07-01T11:39:37Z
dc.date.issued2026
dc.departmentDüzce Üniversitesi
dc.description.abstractSz & aacute;sz-Mirakyan operators constitute an important class of positive linear operators in approximation theory due to their ability to approximate continuous functions on unbounded intervals. Motivated by the search for operators with improved approximation behaviour, we introduce a modified form of the classical Sz & aacute;sz-Mirakyan operators and investigate their fundamental properties. We first establish the connection between the proposed operators and the classical Sz & aacute;sz-Mirakyan operators and derive the corresponding moments. Using tools of classical approximation theory, including the modulus of continuity and direct estimates, we study their approximation behaviour and obtain quantitative estimates for the rate of convergence. The obtained results show that the modified operators provide improved approximation characteristics compared with the classical Sz & aacute;sz-Mirakyan operators under suitable conditions. These findings contribute to the theory of positive linear operators and provide a useful framework for approximation processes on unbounded intervals.
dc.identifier.doi10.1186/s13660-026-03488-7
dc.identifier.issn1029-242X
dc.identifier.issue1
dc.identifier.orcid0000-0002-8730-5370
dc.identifier.scopus2-s2.0-105040376684
dc.identifier.scopusqualityN/A
dc.identifier.urihttps://doi.org/10.1186/s13660-026-03488-7
dc.identifier.urihttps://hdl.handle.net/20.500.12684/23381
dc.identifier.volume2026
dc.identifier.wosWOS:001777641700001
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherSpringer
dc.relation.ispartofJournal of Inequalities and Applications
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_WOS_20260623
dc.subject[Keyword Not Available]
dc.titleApproximation properties of a modified Szász-Mirakyan operator with enhanced convergence and comparative numerical examples
dc.typeArticle

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