Approximation Results for Hadamard-Type Exponential Sampling Kantorovich Series

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dc.authoridKurşun, Sadettin/0000-0001-6697-9627
dc.contributor.authorKurşun, Sadettin
dc.contributor.authorAral, Ali
dc.contributor.authorAcar, Tuncer
dc.date.accessioned2025-01-21T16:35:58Z
dc.date.available2025-01-21T16:35:58Z
dc.date.issued2023
dc.departmentKırıkkale Üniversitesi
dc.description.abstractThe present paper deals with construction of a new family of exponential sampling Kantorovich operators based on a suitable fractional-type integral operators. We study convergence properties of newly constructed operators and give a quantitative form of the rate of convergence thanks to logarithmic modulus of continuity. To obtain an asymptotic formula in the sense of Voronovskaja, we consider locally regular functions. The rest of the paper devoted to approximations of newly constructed operators in logarithmic weighted space of functions. By utilizing a suitable weighted logarithmic modulus of continuity, we obtain a rate of convergence and give a quantitative form of Voronovskaja-type theorem via remainder of Mellin-Taylor's formula. Furthermore, some examples of kernels which satisfy certain assumptions are presented and the results are examined by illustrative numerical tables and graphical representations.
dc.identifier.doi10.1007/s00009-023-02459-2
dc.identifier.issn1660-5446
dc.identifier.issn1660-5454
dc.identifier.issue5
dc.identifier.scopus2-s2.0-85164488091
dc.identifier.scopusqualityQ2
dc.identifier.urihttps://doi.org/10.1007/s00009-023-02459-2
dc.identifier.urihttps://hdl.handle.net/20.500.12587/24217
dc.identifier.volume20
dc.identifier.wosWOS:001025844700002
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherSpringer Basel Ag
dc.relation.ispartofMediterranean Journal of Mathematics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_20241229
dc.subjectExponential sampling Kantorovich series; Hadamard-type fractional integral operators; rate of convergence; modulus of continuity; logarithmic weighted space of functions; Voronovskaja-type formulae
dc.titleApproximation Results for Hadamard-Type Exponential Sampling Kantorovich Series
dc.typeArticle

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