Riemann-Liouville fractional integral type exponential sampling Kantorovich series

Basit Öğe Kaydı
dc.authoridKURSUN, Sadettin/0000-0001-6697-9627
dc.authoridAcar, Tuncer/0000-0003-0982-9459
dc.authoridARAL, Ali/0000-0002-2024-8607
dc.contributor.authorKursun, Sadettin
dc.contributor.authorAral, Ali
dc.contributor.authorAcar, Tuncer
dc.date.accessioned2025-01-21T16:44:17Z
dc.date.available2025-01-21T16:44:17Z
dc.date.issued2024
dc.departmentKırıkkale Üniversitesi
dc.description.abstractIn the present paper, we introduce a new family of sampling Kantorovich type operators using fractional-type integrals. We study approximation properties of newly constructed operators and give a rate of convergence via a suitable modulus of continuity. Furthermore, we obtain an asymptotic formula considering locally regular functions. Secondly, we deal with logarithmic weighted spaces. By using a certain weighted logarithmic modulus of continuity, we obtain a rate of convergence and give a quantitative form of Voronovskaja-type theorem considering the remainder of Mellin-Taylor's formula. Moreover, we give a relation between generalized exponential sampling operators and newly constructed operators. Finally, we present some examples of kernels satisfying the obtained results. The results are examined by illustrative numerical table and graphical representations.
dc.identifier.doi10.1016/j.eswa.2023.122350
dc.identifier.issn0957-4174
dc.identifier.issn1873-6793
dc.identifier.urihttps://doi.org/10.1016/j.eswa.2023.122350
dc.identifier.urihttps://hdl.handle.net/20.500.12587/25407
dc.identifier.volume238
dc.identifier.wosWOS:001105341400001
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.language.isoen
dc.publisherPergamon-Elsevier Science Ltd
dc.relation.ispartofExpert Systems With Applications
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_20241229
dc.subjectExponential sampling series; Fractional integrals; Rate of convergence; Modulus of continuity; Logarithmic weighted space of functions; Voronovskaja-type theorem
dc.titleRiemann-Liouville fractional integral type exponential sampling Kantorovich series
dc.typeArticle

Dosyalar

Koleksiyon

WOS İndeksli Yayınlar Koleksiyonu