On Multivariate Bernstein Polynomials
| dc.date.accessioned | 2020-08-27T09:41:40Z | |
| dc.date.available | 2020-08-27T09:41:40Z | |
| dc.date.issued | 2020-08-21 | |
| dc.description.sponsorship | Gefördert durch den Publikationsfonds der Universität Kassel | ger |
| dc.identifier | doi:10.17170/kobra-202008261652 | |
| dc.identifier.uri | http://hdl.handle.net/123456789/11731 | |
| dc.language.iso | eng | eng |
| dc.relation.doi | doi:10.3390/math8091397 | |
| dc.rights | Namensnennung 4.0 International | * |
| dc.rights.uri | http://creativecommons.org/licenses/by/4.0/ | * |
| dc.subject | Bernstein polynomials | eng |
| dc.subject | functions of serveral variables | eng |
| dc.subject | derivatives | eng |
| dc.subject | uniform convergence | eng |
| dc.subject | order of convergence | eng |
| dc.subject | monotonicity | eng |
| dc.subject | convexity | eng |
| dc.subject | upper and lower bounds | eng |
| dc.subject.ddc | 510 | |
| dc.subject.swd | Bernštejn-Polynom | ger |
| dc.subject.swd | Multivariates Polynom | ger |
| dc.subject.swd | Gleichmäßige Konvergenz | ger |
| dc.subject.swd | Monotonie | ger |
| dc.subject.swd | Konvexität | ger |
| dc.title | On Multivariate Bernstein Polynomials | eng |
| dc.type | Aufsatz | |
| dc.type.version | publishedVersion | |
| dcterms.abstract | In this paper, we first revisit and bring together as a sort of survey, properties of Bernstein polynomials of one variable. Secondly, we extend the results from one variable to several ones, namely—uniform convergence, uniform convergence of the derivatives, order of convergence, monotonicity, fixed sign for the p-th derivative, and deduction of the upper and lower bounds of Bernstein polynomials from those of the corresponding functions. | eng |
| dcterms.accessRights | open access | |
| dcterms.creator | Foupouagnigni, Mama | |
| dcterms.creator | Wouodjié, Merlin Mouafo | |
| dcterms.source.identifier | EISSN 2227-7390 | |
| dcterms.source.issue | Issue 9 | |
| dcterms.source.journal | Mathematics | eng |
| dcterms.source.pageinfo | 1397 | |
| dcterms.source.volume | Volume 8 | |
| kup.iskup | false |