Reconstruction of two approximation processes in order to reproduce eax and e2ax, a>0

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dc.contributor.authorYılmaz, Başar
dc.contributor.authorUysal, Gümrah
dc.contributor.authorAral, Ali
dc.date.accessioned2025-01-21T16:43:57Z
dc.date.available2025-01-21T16:43:57Z
dc.date.issued2021
dc.departmentKırıkkale Üniversitesi
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.
dc.identifier.doi10.7153/jmi-2021-15-75
dc.identifier.endpage1118
dc.identifier.issn1846-579X
dc.identifier.issue3
dc.identifier.scopus2-s2.0-85110295070
dc.identifier.scopusqualityQ2
dc.identifier.startpage1101
dc.identifier.urihttps://doi.org/10.7153/jmi-2021-15-75
dc.identifier.urihttps://hdl.handle.net/20.500.12587/25368
dc.identifier.volume15
dc.identifier.wosWOS:000705523600014
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Science
dc.language.isoen
dc.publisherElement
dc.relation.ispartofJournal of Mathematical Inequalities
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_20241229
dc.subjectGauss-Weierstrass operators; moment-type operators; Voronovskaya-type theorem; weighted approximation
dc.titleReconstruction of two approximation processes in order to reproduce eax and e2ax, a>0
dc.typeArticle

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