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Date
2020-08-21Subject
510 Mathematics Bernštejn-PolynomMultivariates PolynomGleichmäßige KonvergenzMonotonieKonvexitätMetadata
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Aufsatz
On Multivariate Bernstein Polynomials
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.
Citation
In: Mathematics Volume 8 / Issue 9 (2020-08-21) , S. 1397 ; EISSN 2227-7390Sponsorship
Gefördert durch den Publikationsfonds der Universität KasselThe following license files are associated with this item: