Datum
2020-08-21Schlagwort
510 Mathematik Bernštejn-PolynomMultivariates PolynomGleichmäßige KonvergenzMonotonieKonvexitätMetadata
Zur Langanzeige
Aufsatz
On Multivariate Bernstein Polynomials
Zusammenfassung
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.
Zitierform
In: Mathematics Volume 8 / Issue 9 (2020-08-21) , S. 1397 ; EISSN 2227-7390Förderhinweis
Gefördert durch den Publikationsfonds der Universität KasselZitieren
@article{doi:10.17170/kobra-202008261652,
author={Foupouagnigni, Mama and Wouodjié, Merlin Mouafo},
title={On Multivariate Bernstein Polynomials},
journal={Mathematics},
year={2020}
}
0500 Oax 0501 Text $btxt$2rdacontent 0502 Computermedien $bc$2rdacarrier 1100 2020$n2020 1500 1/eng 2050 ##0##http://hdl.handle.net/123456789/11731 3000 Foupouagnigni, Mama 3010 Wouodjié, Merlin Mouafo 4000 On Multivariate Bernstein Polynomials / Foupouagnigni, Mama 4030 4060 Online-Ressource 4085 ##0##=u http://nbn-resolving.de/http://hdl.handle.net/123456789/11731=x R 4204 \$dAufsatz 4170 5550 {{Bernštejn-Polynom}} 5550 {{Multivariates Polynom}} 5550 {{Gleichmäßige Konvergenz}} 5550 {{Monotonie}} 5550 {{Konvexität}} 7136 ##0##http://hdl.handle.net/123456789/11731
2020-08-27T09:41:40Z 2020-08-27T09:41:40Z 2020-08-21 doi:10.17170/kobra-202008261652 http://hdl.handle.net/123456789/11731 Gefördert durch den Publikationsfonds der Universität Kassel eng Namensnennung 4.0 International http://creativecommons.org/licenses/by/4.0/ Bernstein polynomials functions of serveral variables derivatives uniform convergence order of convergence monotonicity convexity upper and lower bounds 510 On Multivariate Bernstein Polynomials Aufsatz 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. open access Foupouagnigni, Mama Wouodjié, Merlin Mouafo doi:10.3390/math8091397 Bernštejn-Polynom Multivariates Polynom Gleichmäßige Konvergenz Monotonie Konvexität publishedVersion EISSN 2227-7390 Issue 9 Mathematics 1397 Volume 8 false
Die folgenden Lizenzbestimmungen sind mit dieser Ressource verbunden: