On the generalized Mellin integral operators

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dc.authoridÖzsaraç, Fırat/0000-0001-7170-9613
dc.contributor.authorTopuz, Cem
dc.contributor.authorÖzsaraç, Fırat
dc.contributor.authorAral, Ali
dc.date.accessioned2025-01-21T16:43:14Z
dc.date.available2025-01-21T16:43:14Z
dc.date.issued2024
dc.departmentKırıkkale Üniversitesi
dc.description.abstractIn this study, we give a modification of Mellin convolution-type operators. In this way, we obtain the rate of convergence with the modulus of the continuity of the m m th-order Mellin derivative of function f f , but without the derivative of the operator. Then, we express the Taylor formula including Mellin derivatives with integral remainder. Later, a Voronovskaya-type theorem is proved. In the last part, we state order of approximation of the modified operators, and the obtained results are restated for the Mellin-Gauss-Weierstrass operator.
dc.identifier.doi10.1515/dema-2023-0133
dc.identifier.issn0420-1213
dc.identifier.issn2391-4661
dc.identifier.issue1
dc.identifier.scopus2-s2.0-85187289304
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.1515/dema-2023-0133
dc.identifier.urihttps://hdl.handle.net/20.500.12587/25209
dc.identifier.volume57
dc.identifier.wosWOS:001162609700001
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherDe Gruyter Poland Sp Z O O
dc.relation.ispartofDemonstratio Mathematica
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_20241229
dc.subjectconvolution operators; Mellin derivatives; logarithmic modulus of continuity; Mellin-Gauss-Weierstrass operator
dc.titleOn the generalized Mellin integral operators
dc.typeArticle

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