On urysohn-chlodovsky operators acting on functions defined over the real line

Basit Öğe Kaydı
dc.authorid0000-0002-3641-9052en_US
dc.contributor.authorKarslı, Harun
dc.date.accessioned2024-03-15T08:49:31Z
dc.date.available2024-03-15T08:49:31Z
dc.date.issued2023en_US
dc.departmentBAİBÜ, Fen Edebiyat Fakültesi, Matematik Bölümüen_US
dc.description.abstractAs a continuation of the very recent studies of the author dealing with Urysohn type operators (Karsli in Results Math 72(3):1571- 1583, 2017; Karsli in Approximation Results for Urysohn Type Nonlinear Bernstein Operators, Advances in Summability and Approximation Theory, Springer, Singapore, 2018; Karsli in Math Methods Appl Sci 42(16):5190-5198, 2019; Karsli in Const Math Anal 1(1):45-57, 2018; Karsli in Stud Univ Babes Bolyai Math 64(2):183-196, 2019; Karsli in Dolomites Res Notes Approx 14(2):58-67, 2021; Karsli in Carpathian Math Publ 13(3):631-641, 2021) and Chlodovsky operators acting on functions defined over the real line (Abel and Karsli in Mediterr J Math 17:201, 2020; Karsli in Adv Oper Theory 7:15, 2022), the first main goal of this work is to introduce an Urysohn type Chlodovsky operators acting on functions defined over the real line using the Urysohn type interpolation of the given function f which is bounded on every finite subinterval of R. These operators include several operators, which are very useful in signal reconstruction and approximation theory. Afterwards, we will give some characterization and convergence results for these operators, which are generalization and extension of the theory of classical interpolation of functions to operators. Finally, we give some applications of our study with some graphical representations. As a special case of our operators and approaches, one can obtain the recent operators, defined on the symmetric interval [-1, 1], introduced and investigated by Demkiv and Barnetskijen_US
dc.identifier.citationKarsli, H. (2023). On Urysohn–Chlodovsky Operators Acting on Functions Defined over the Real Line. Mediterranean Journal of Mathematics, 20(1), 21.en_US
dc.identifier.doi10.1007/s00009-022-02217-w
dc.identifier.endpage15en_US
dc.identifier.issn1660-5446
dc.identifier.issn1660-5454
dc.identifier.issue1en_US
dc.identifier.scopus2-s2.0-85143686304en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.startpage1en_US
dc.identifier.urihttp://dx.doi.org/10.1007/s00009-022-02217-w
dc.identifier.urihttps://hdl.handle.net/20.500.12491/12095
dc.identifier.volume20en_US
dc.identifier.wosWOS:000898490400012en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.institutionauthorKarslı, Harun
dc.language.isoenen_US
dc.publisherSpringer Basel Agen_US
dc.relation.ispartofMediterranean Journal of Mathematicsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectChlodovsky Operators On Ren_US
dc.subjectUrysohn Operatorsen_US
dc.subjectUrysohn Type Chlodovsky Operators On Ren_US
dc.subjectApproximationen_US
dc.subjectSignal Reconstructionen_US
dc.subjectGraphical Representationsen_US
dc.titleOn urysohn-chlodovsky operators acting on functions defined over the real lineen_US
dc.typeArticleen_US

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