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dc.contributor.authorAbel, Ulrich
dc.date.accessioned2022-08-15T06:25:17Z
dc.date.available2022-08-15T06:25:17Z
dc.date.issued2000
dc.identifier.issn1439-1112
dc.identifier.urihttps://publikationsserver.thm.de/xmlui/handle/123456789/114
dc.identifier.urihttp://dx.doi.org/10.25716/thm-64
dc.description.abstractThe concern of this paper is the study of local approximation properties of the Bernstein-Durrmeyer operators Mn. We derive the complete asymptotic expansion of the operators Mn and their derivatives as n tends to infinity. It turnsout that the appropriate representation is a series of reciprocal factorials. All coefficients are calculated explicitly in a very concise form. Our main theorem contains several earlier partial results as special cases. Moreover, it may beuseful for further investigations on Bernstein-Durrmeyer operators. Finally, we obtain a Voronovskaja-type formula for the simultaneous approximation by linear combinations of the Mn.de
dc.format.extent11 S.de
dc.language.isoende
dc.publisherTechnische Hochschule Mittelhessen; Gießende
dc.relation.ispartofseriesFriedberger Hochschulschriften;6
dc.rights.urihttps://rightsstatements.org/page/InC/1.0/de
dc.subjectApproximation, Asymptotische Entwicklungde
dc.titleAsymptotic Approximation by Bernstein-Durrmeyer Operators and their Derivativesde
dc.typeVerschiedenartige Textede
dcterms.accessRightsopen accessde
dc.description.versionPublished Versionde


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