On behaviour of the Riesz and generalized Riesz potentials as order tends to zero

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dc.contributor.authorGadjiev, A. D.
dc.contributor.authorAral, A.
dc.contributor.authorAliev, Ilham A.
dc.date.accessioned2020-06-25T17:43:37Z
dc.date.available2020-06-25T17:43:37Z
dc.date.issued2007
dc.description.abstractIn this paper, we present the Riesz potentials I-alpha and the generalized Riesz potentials I-v(alpha) as the families of positive linear operators, depending on parameter alpha > 0. We investigate their pointwise convergence and convergence in the norm as alpha -> 0. We investigate also the order of approximation of these families and show in particular that the order of approximation at the Lipschitz points is independent from Lipschitz degree.en_US
dc.identifier.endpage888en_US
dc.identifier.issn1331-4343
dc.identifier.issue4en_US
dc.identifier.scopus2-s2.0-35648952310
dc.identifier.scopusqualityQ1
dc.identifier.startpage875en_US
dc.identifier.urihttps://hdl.handle.net/20.500.12587/3833
dc.identifier.volume10en_US
dc.identifier.wosWOS:000250470600016
dc.identifier.wosqualityQ4
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherElementen_US
dc.relation.ispartofMathematical Inequalities & Applications
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectRiesz potentialsen_US
dc.subjectgeneralized translation operatoren_US
dc.subjectd-pointen_US
dc.subjectLipschitz pointen_US
dc.subjectapproximationen_US
dc.subjectmodulus of continuityen_US
dc.titleOn behaviour of the Riesz and generalized Riesz potentials as order tends to zeroen_US
dc.typeArticle

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