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dc.contributor.authorHüseyin, Anar
dc.date.accessioned2023-06-23T05:10:11Z
dc.date.available2023-06-23T05:10:11Z
dc.date.issued25.12.2022tr
dc.identifier.citationHuseyin, A., Huseyin, N. & Guseinov, K.G. Approximations of the Images and Integral Funnels of the Lp Balls under a Urysohn-Type Integral Operator. Funct Anal Its Appl 56, 269–281 (2022).tr
dc.identifier.issn0016-2663/1573-8485
dc.identifier.urihttps://hdl.handle.net/20.500.12418/14001
dc.description.abstractApproximations of the image and integral funnel of a closed ball of the space $L_p$, $p>1$, under a Urysohn-type integral operator are considered. A closed ball of the space $L_p$, $p>1$, is replaced by a set consisting of a finite number of piecewise constant functions, and it is proved that, for appropriate discretization parameters, the images of these piecewise constant functions form an internal approximation of the image of the closed ball. This result is applied to approximate the integral funnel of a closed ball of the space $L_p$, $p>1$, under a Urysohn-type integral operator by a set consisting of a finite number of points.tr
dc.language.isoengtr
dc.publisherSpringer New Yorktr
dc.relation.isversionofhttps://doi.org/10.1134/S0016266322040050tr
dc.rightsinfo:eu-repo/semantics/openAccesstr
dc.titleApproximations of the images and integral funnels of the $L_p$ balls under a Urysohn-type integral operator.tr
dc.typearticletr
dc.relation.journalFunctional Analisis and its Applicationstr
dc.contributor.departmentFen Fakültesitr
dc.contributor.authorID0000-0002-3911-2304tr
dc.identifier.volume56tr
dc.identifier.issue4tr
dc.identifier.endpage281tr
dc.identifier.startpage269tr
dc.relation.publicationcategoryUluslararası Hakemli Dergide Makale - Kurum Öğretim Elemanıtr


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