A study on pointwise approximation by double singular integral operators

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dc.authoridMENEKSE YILMAZ, MINE/0000-0002-9242-8447
dc.authoridUysal, Gumrah/0000-0001-7747-1706
dc.contributor.authorUysal, Gumrah
dc.contributor.authorYilmaz, Mine Menekse
dc.contributor.authorIbikli, Ertan
dc.date.accessioned2024-09-29T16:05:11Z
dc.date.available2024-09-29T16:05:11Z
dc.date.issued2015
dc.departmentKarabük Üniversitesien_US
dc.description.abstractIn the present work we prove the pointwise convergence and the rate of pointwise convergence for a family of singular integral operators with radial kernel in two-dimensional setting in the following form: Lx(f;x,y) = integral integral(D)f(t,s)H-lambda(t-x,s-y)dt ds, (x,y) is an element of D, where D = < a, b > x < c,d > is an arbitrary closed, semi-closed or open region in R-2 and lambda is an element of Lambda, Lambda is a set of non-negative numbers with accumulation point lambda(0). Also we provide an example to justify the theoretical results. MSC: Primary 41A35; secondary 41A25en_US
dc.identifier.doi10.1186/s13660-015-0615-6
dc.identifier.issn1029-242X
dc.identifier.scopus2-s2.0-84924368176en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.urihttps://doi.org/10.1186/s13660-015-0615-6
dc.identifier.urihttps://hdl.handle.net/20.500.14619/6545
dc.identifier.wosWOS:000350678800005en_US
dc.identifier.wosqualityQ2en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherSpringeropenen_US
dc.relation.ispartofJournal of Inequalities and Applicationsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectmu-generalized Lebesgue pointen_US
dc.subjectradial kernelen_US
dc.subjectrate of convergenceen_US
dc.subjectbimonotonicityen_US
dc.subjectbounded bivariationen_US
dc.titleA study on pointwise approximation by double singular integral operatorsen_US
dc.typeArticleen_US

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