Generalized Kantorovich forms of exponential sampling series

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dc.authoridAcar, Tuncer/0000-0003-0982-9459
dc.authoridKURSUN, Sadettin/0000-0001-6697-9627
dc.contributor.authorAral, Ali
dc.contributor.authorAcar, Tuncer
dc.contributor.authorKursun, Sadettin
dc.date.accessioned2025-01-21T16:41:18Z
dc.date.available2025-01-21T16:41:18Z
dc.date.issued2022
dc.departmentKırıkkale Üniversitesi
dc.description.abstractIn this paper, we introduce a new family of operators by generalizing Kantorovich type of exponential sampling series by replacing integral means over exponentially spaced intervals with its more general analogue, Mellin Gauss Weierstrass singular integrals. Pointwise convergence of the family of operators is presented and a quantitative form of the convergence using a logarithmic modulus of continuity is given. Moreover, considering locally regular functions, an asymptotic formula in the sense of Voronovskaja is obtained. By introducing a new modulus of continuity for functions belonging to logarithmic weighted space of functions, a rate of convergence is obtained. Some examples of kernels satisfying the obtained results are presented.
dc.identifier.doi10.1007/s13324-022-00667-9
dc.identifier.issn1664-2368
dc.identifier.issn1664-235X
dc.identifier.issue2
dc.identifier.scopus2-s2.0-85126260173
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.1007/s13324-022-00667-9
dc.identifier.urihttps://hdl.handle.net/20.500.12587/24864
dc.identifier.volume12
dc.identifier.wosWOS:000767791000003
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherSpringer Basel Ag
dc.relation.ispartofAnalysis and Mathematical Physics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_20241229
dc.subjectExponential sampling series; Kantorovich operators; Gauss-Weierstrass kernel; Mellin differential operator; Pointwise convergence; Asymptotic formula
dc.titleGeneralized Kantorovich forms of exponential sampling series
dc.typeArticle

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