On the Modification of Mellin Convolution Operator and Its Associated Information Potential

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dc.authoridOzsarac, Firat/0000-0001-7170-9613
dc.contributor.authorOzsarac, Firat
dc.contributor.authorAcu, Ana Maria
dc.contributor.authorAral, Ali
dc.contributor.authorRasa, Ioan
dc.date.accessioned2025-01-21T16:43:14Z
dc.date.available2025-01-21T16:43:14Z
dc.date.issued2023
dc.departmentKırıkkale Üniversitesi
dc.description.abstractIn this paper, we define a new generalization of Mellin-Gauss-Weierstrass operators that preserve logarithmic functions. We compute logarithmic moments of the new operators and describe the behavior of the modified operators in some weighted spaces. The weighted approximation properties of operators including weighted approximation and weighted quantitative type approximation properties, using weighted logarithmic modulus of continuity, are presented. Using the Mellin-Gauss-Weierstrass kernel p(., .) as a logarithmic probability density, we study the associated information potential, the expected value E[log p(., .)] and the variance Var[log p(., .)].
dc.description.sponsorshipLucian Blaga University of Sibiu (Knowledge Transfer Center); Hasso Plattner Foundation [LBUS-HPI-ERG-2023-01]
dc.description.sponsorshipThe work of the second author was supported by Lucian Blaga University of Sibiu (Knowledge Transfer Center) & Hasso Plattner Foundation research grants LBUS-HPI-ERG-2023-01.
dc.identifier.doi10.1080/01630563.2023.2239326
dc.identifier.endpage1208
dc.identifier.issn0163-0563
dc.identifier.issn1532-2467
dc.identifier.issue11
dc.identifier.scopus2-s2.0-85166020691
dc.identifier.scopusqualityQ2
dc.identifier.startpage1194
dc.identifier.urihttps://doi.org/10.1080/01630563.2023.2239326
dc.identifier.urihttps://hdl.handle.net/20.500.12587/25211
dc.identifier.volume44
dc.identifier.wosWOS:001038805100001
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherTaylor & Francis Inc
dc.relation.ispartofNumerical Functional Analysis and Optimization
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_20241229
dc.subjectInformation potential; logarithmic moments; Mellin-Gauss-Weierstrass operators; weighted logarithmic modulus of continuity
dc.titleOn the Modification of Mellin Convolution Operator and Its Associated Information Potential
dc.typeArticle

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