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  5. Stochastic Bernstein polynomials: uniform convergence in probability with rates
Please use this identifier to cite or link to this item: https://hdl.handle.net/10953/3180
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dc.contributor.authorAdell, José A.-
dc.contributor.authorCárdenas-Morales, Daniel-
dc.date.accessioned2024-09-09T07:01:11Z-
dc.date.available2024-09-09T07:01:11Z-
dc.date.issued2020-02-27-
dc.identifier.citationAdell, J.A., Cárdenas-Morales, D. Stochastic Bernstein polynomials: uniform convergence in probability with rates. Adv Comput Math 46, 16 (2020).es_ES
dc.identifier.issn1572-9044 (Electronic) 1019-7168 (Print)es_ES
dc.identifier.other10.1007/s10444-020-09770-6es_ES
dc.identifier.urihttps://hdl.handle.net/10953/3180-
dc.descriptionThis version of the article was accepted for publication after peer review. It is subject to Springer Nature’s AM terms of use. It is not the Version of Record, available online at https://doi.org/10.1007/s10444-020-09770-6es_ES
dc.description.abstractWe introduce stochastic variants of the classical Bernstein polynomials associated with a continuous function f , built up from a general triangular array of random variables. We discuss the uniform convergence in probability of the approximation process that they represent, providing at the same time rates of convergence. In the particular case in which the triangular array of random variables consists of the uniform order statistics, we give a positive answer to a conjectured raised in Wu and Zhou (Adv. Comput. Math. 46, 8, 2020) about an exponential rate of convergence in probability.es_ES
dc.description.sponsorshipThis work is partially supported by the Spanish government Research Project PGC2018-097621-B-I00. The second author is also supported by Junta de Andalucía Research Group FQM-0178.es_ES
dc.language.isoenges_ES
dc.publisherSpringeres_ES
dc.relation.ispartofAdvances in Computational Mathematicses_ES
dc.subjectStochastic Bernstein polynomialses_ES
dc.subjectUniform convergence in probabilityes_ES
dc.subjectRates of convergencees_ES
dc.subjectConfidence bandes_ES
dc.subjectBernstein-Durrmeyer polynomialses_ES
dc.titleStochastic Bernstein polynomials: uniform convergence in probability with rateses_ES
dc.typeinfo:eu-repo/semantics/articlees_ES
dc.rights.accessRightsinfo:eu-repo/semantics/openAccesses_ES
dc.type.versioninfo:eu-repo/semantics/acceptedVersiones_ES
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