Bernstein-Type Operators That Reproduce Exponential Functions

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dc.contributor.authorAral, Ali
dc.contributor.authorCardenas-Morales, Daniel
dc.contributor.authorGarrancho, Pedro
dc.date.accessioned2020-06-25T18:29:28Z
dc.date.available2020-06-25T18:29:28Z
dc.date.issued2018
dc.departmentKırıkkale Üniversitesi
dc.descriptionCardenas-Morales, Daniel/0000-0003-1038-3116
dc.description.abstractIn this paper we recover a generalization of the classical Bernstein operators introduced by Morigi and Neamtu in 2000. Specifically, we focus on a sequence of operators that reproduce the exponential functions exp(mu t) and exp(2 mu t), mu > 0. We study its convergence, this including qualitative and quantitative theorems, an asymptotic formula and saturation results. We also show their shape preserving properties by considering generalized convexity. Finally, a comparison is stated, that shows that in a certain sense and for certain family of illustrative functions the new sequence approximates better than the classical Bernstein polynomials.en_US
dc.description.sponsorshipResearch Projects DGA [E-64]; FEDER fundsEuropean Union (EU); Junta de Andalucia Research GroupJunta de Andalucia [FQM-0178]; [MTM2015-67006-P]en_US
dc.description.sponsorshipThe second author is partially supported by Research Projects DGA (E-64), MTM2015-67006-P, by FEDER funds, and by Junta de Andalucia Research Group FQM-0178.en_US
dc.identifier.citationAral, Ali & Cárdenas-Morales, D. & Garrancho, P.. (2018). Bernstein-type operators that reproduce exponential functions. Journal of Mathematical Inequalities. 12. 861-872.en_US
dc.identifier.doi10.7153/jmi-2018-12-64
dc.identifier.endpage872en_US
dc.identifier.issn1846-579X
dc.identifier.issue3en_US
dc.identifier.scopus2-s2.0-85055540428
dc.identifier.scopusqualityQ2
dc.identifier.startpage861en_US
dc.identifier.urihttps://doi.org/10.7153/jmi-2018-12-64
dc.identifier.urihttps://hdl.handle.net/20.500.12587/7326
dc.identifier.volume12en_US
dc.identifier.wosWOS:000445366500019
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherElementen_US
dc.relation.ispartofJournal Of Mathematical Inequalities
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectModified Bernstein-type operatorsen_US
dc.subjectexponential functionsen_US
dc.subjectshape preserving propertiesen_US
dc.subjectgeneralized convexityen_US
dc.titleBernstein-Type Operators That Reproduce Exponential Functionsen_US
dc.typeArticle

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