A Class of Integral Operators that Fix Exponential Functions

dc.contributor.authorBardaro, Carlo
dc.contributor.authorMantellini, Ilaria
dc.contributor.authorUysal, Gumrah
dc.contributor.authorYılmaz, Başar
dc.date.accessioned2025-01-21T16:34:55Z
dc.date.available2025-01-21T16:34:55Z
dc.date.issued2021
dc.departmentKırıkkale Üniversitesi
dc.description.abstractIn this paper we introduce a general class of integral operators that fix exponential functions, containing several recent modified operators of Gauss-Weierstrass, or Picard or moment type operators. Pointwise convergence theorems are studied, using a Korovkin-type theorem and a Voronovskaja-type formula is obtained.
dc.description.sponsorshipGruppo Nazionale per l'Analisi Matematica e Applicazioni (GNAMPA) of the Instituto di Alta Matematica (INDAM); University of Perugia
dc.description.sponsorshipCarlo Bardaro and Ilaria Mantellini have been partially supported by the Gruppo Nazionale per l'Analisi Matematica e Applicazioni (GNAMPA) of the Instituto di Alta Matematica (INDAM) as well as by the project Ricerca di Base 2019 of University of Perugia (title: Integrazione, Approssimazione Analisi non Lineare e loro Applicazioni).
dc.identifier.doi10.1007/s00009-021-01819-0
dc.identifier.issn1660-5446
dc.identifier.issn1660-5454
dc.identifier.issue5
dc.identifier.scopus2-s2.0-85110253916
dc.identifier.scopusqualityQ2
dc.identifier.urihttps://doi.org/10.1007/s00009-021-01819-0
dc.identifier.urihttps://hdl.handle.net/20.500.12587/24033
dc.identifier.volume18
dc.identifier.wosWOS:000672476100001
dc.identifier.wosqualityQ2
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.subjectConvolution integrals; Exponential moments; Weighted moduli of continuity; Voronovskaja formula
dc.titleA Class of Integral Operators that Fix Exponential Functions
dc.typeArticle

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