Generalized Picard singular integrals

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dc.contributor.authorAnastassiou, George A.
dc.contributor.authorAral, Ali
dc.date.accessioned2020-06-25T17:48:33Z
dc.date.available2020-06-25T17:48:33Z
dc.date.issued2009
dc.departmentKırıkkale Üniversitesi
dc.description.abstractin this article, we introduce and study a new type of Picard singular integral operators on R-n constructed by means of the concept of the nonisotropic beta-distance and the q-exponential functions. The central role here is played by the concept of nonisotropic beta-distance, which allows one to improve and generalize the results given for classical Picard and q-Picard singular integral operators. in order to obtain the rate of convergence we introduce a new type of modulus of continuity depending on the nonisotropic beta-distance with respect to the uniform norm. Then we give the definition of beta-Lebesque points depending on nonisotropic beta-distance and a pointwise approximation result shown at these points. Furthermore, we study the global smoothness preservation property of these new type Picard singular integral operators and prove a sharp inequality. (C) 2008 Elsevier Ltd. All rights reserved.en_US
dc.identifier.citationclosedAccessen_US
dc.identifier.doi10.1016/j.camwa.2008.09.026
dc.identifier.endpage830en_US
dc.identifier.issn0898-1221
dc.identifier.issn1873-7668
dc.identifier.issue5en_US
dc.identifier.scopus2-s2.0-58749115562
dc.identifier.scopusqualityQ1
dc.identifier.startpage821en_US
dc.identifier.urihttps://doi.org/10.1016/j.camwa.2008.09.026
dc.identifier.urihttps://hdl.handle.net/20.500.12587/4491
dc.identifier.volume57en_US
dc.identifier.wosWOS:000263708000014
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherPergamon-Elsevier Science Ltden_US
dc.relation.ispartofComputers & Mathematics With Applications
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectPicard singular integralen_US
dc.subjectNonisotropic distanceen_US
dc.subjectq-exponentialen_US
dc.subjectRate of convergenceen_US
dc.titleGeneralized Picard singular integralsen_US
dc.typeArticle

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