Approximations of Set-Valued Functions by Metric Linear Operators

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dc.creatorDyn, Nira
dc.creatorFarkhi, Elza
dc.creatorMokhov, Alona
dc.date2005-06-06
dc.date.accessioned2026-07-07T05:20:34Z
dc.date.available2026-07-07T05:20:34Z
dc.descriptionIn this work, we introduce new approximation operators for univariate set-valued functions with general compact images. We adapt linear approximation methods for real-valued functions by replacing linear combinations of numbers with new metric linear combinations of finite sequences of compact sets, thus obtaining "metric analogues" operators for set-valued functions. The new metric linear combination extends the binary metric average of Artstein. Approximation estimates for the metric analogue operators are derived. As examples we study metric Bernstein operators, metric Shoenberg operators and metric polynomial interpolants.
dc.description14 pages, 3 postscript figures
dc.identifierhttps://arxiv.org/abs/math/0506105
dc.identifierhttp://arxiv.org/abs/math/0506105
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/75421
dc.subjectClassical Analysis and ODEs
dc.subject26E25, 54C65, 41A35, 41A36
dc.titleApproximations of Set-Valued Functions by Metric Linear Operators
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