RECONSTRUCTION OF TWO APPROXIMATION PROCESSES IN ORDER TO REPRODUCE eax AND e2ax, a > 0

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dc.contributor.authorYilmaz, Basar
dc.contributor.authorUysal, Gumrah
dc.contributor.authorAral, Ali
dc.date.accessioned2024-09-29T16:10:00Z
dc.date.available2024-09-29T16:10:00Z
dc.date.issued2021
dc.departmentKarabük Üniversitesien_US
dc.description.abstractWe propose two modifications for Gauss-Weierstrass operators and moment-type operators which fix e(ax) and e(2ax) with a> 0. First, we present moment identities for new operators. Then, we discuss weighted approximation and prove Voronovskaya-type theorems for them in exponentially weighted spaces. Using modulus of continuity in exponentially weighted spaces, we obtain some global smoothness preservation properties. We give a comparison result for Gauss-Weierstrass operators. Finally, we provide some graphical illustrations that show that modified operators perform better than classical ones.en_US
dc.identifier.doi10.7153/jmi-2021-15-75
dc.identifier.endpage1118en_US
dc.identifier.issn1846-579X
dc.identifier.issue3en_US
dc.identifier.scopus2-s2.0-85110295070en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.startpage1101en_US
dc.identifier.urihttps://doi.org/10.7153/jmi-2021-15-75
dc.identifier.urihttps://hdl.handle.net/20.500.14619/7907
dc.identifier.volume15en_US
dc.identifier.wosWOS:000705523600014en_US
dc.identifier.wosqualityQ2en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherElementen_US
dc.relation.ispartofJournal of Mathematical Inequalitiesen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectGauss-Weierstrass operatorsen_US
dc.subjectmoment-type operatorsen_US
dc.subjectVoronovskaya-type theoremen_US
dc.subjectweighted approximationen_US
dc.titleRECONSTRUCTION OF TWO APPROXIMATION PROCESSES IN ORDER TO REPRODUCE eax AND e2ax, a > 0en_US
dc.typeArticleen_US

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