Open main menu
Home
Random
Recent changes
Special pages
Community portal
Preferences
About Wikipedia
Disclaimers
Incubator escapee wiki
Search
User menu
Talk
Dark mode
Contributions
Create account
Log in
Editing
Bernstein polynomial
(section)
Warning:
You are not logged in. Your IP address will be publicly visible if you make any edits. If you
log in
or
create an account
, your edits will be attributed to your username, along with other benefits.
Anti-spam check. Do
not
fill this in!
==External links== * {{cite journal|first1=Mark|last1=Kac| authorlink=Mark Kac|title=Une remarque sur les polynomes de M. S. Bernstein |journal = [[Studia Mathematica]] | year =1938| volume =7 | pages=49β51| doi=10.4064/sm-7-1-49-51| doi-access=free}} *{{cite journal|first1=Richard Paul | last1=Kelisky | first2=Theodore Joseph | last2=Rivlin |title=Iteratives of Bernstein Polynomials|year=1967 | journal=[[Pacific Journal of Mathematics]] | volume=21 | number=3 | page =511|doi=10.2140/pjm.1967.21.511| doi-access=free }} * {{cite book|first1=E. L. | last1=Stark|chapter = Bernstein Polynome, 1912-1955 | year=1981| doi=10.1007/978-3-0348-9369-5_40|pages=443β461|editor-first=P.L. | editor-last=Butzer |title=ISNM60|isbn=978-3-0348-9369-5}} * {{cite journal|first1=Sonia |last1=Petrone |authorlink= Sonia Petrone | title=Random Bernstein polynomials | journal=Scand. J. Stat. | year=1999|volume=26|number=3|pages=373β393|doi=10.1111/1467-9469.00155|s2cid=122387975 }} * {{cite journal|first1=Halil |last1=Oruc |first2=Geoerge M. |last2=Phillips|title= A generalization of the Bernstein Polynomials | year=1999 | journal=[[Edinburgh Mathematical Society#Journals|Proceedings of the Edinburgh Mathematical Society]]|volume=42 |issue=2 |pages=403β413 |doi=10.1017/S0013091500020332|doi-access=free }} * {{cite web |first1=Kenneth I. |last1=Joy |year=2000 |url=http://www.idav.ucdavis.edu/education/CAGDNotes/Bernstein-Polynomials.pdf |title=Bernstein Polynomials |access-date=2009-02-28 |archive-url=https://web.archive.org/web/20120220143625/http://www.idav.ucdavis.edu/education/CAGDNotes/Bernstein-Polynomials.pdf |archive-date=2012-02-20 |url-status=dead }} from [[University of California, Davis]]. Note the error in the summation limits in the first formula on page 9. * {{cite journal|first1=M.|last1=Idrees Bhatti |first2=P. |last2=Bracken | title=Solutions of differential equations in a Bernstein Polynomial basis| doi=10.1016/j.cam.2006.05.002|year=2007|journal=J. Comput. Appl. Math.|pages=272β280|volume=205|issue=1 |bibcode=2007JCoAM.205..272I |doi-access=free}} * {{cite web|first1=Bill|last1=Casselman|authorlink=Bill Casselman (mathematician)|url=https://www.ams.org/featurecolumn/archive/bezier.html| title= From BΓ©zier to Bernstein|year=2008}} Feature Column from [[American Mathematical Society]] * {{cite journal|first1=Mehmet | last1=Acikgoz |first2=Serkan |last2=Araci|title=On the generating function for Bernstein Polynomials | year=2010 | journal = AIP Conf. Proc. | series=AIP Conference Proceedings | doi=10.1063/1.3497855|volume=1281 | issue=1 |page=1141| bibcode=2010AIPC.1281.1141A }} * {{cite journal|first1=E. H. |last1=Doha|first2=A. H.|last2=Bhrawy |first3=M. A. |last3=Saker |title=Integrals of Bernstein polynomials: An application for the solution of high even-order differential equations |doi=10.1016/j.aml.2010.11.013| year=2011 | journal=Appl. Math. Lett.|volume=24 |issue=4| pages=559β565|doi-access=free}} * {{cite journal|first1=Rida T.|last1=Farouki | title=The Bernstein polynomial basis: a centennial retrospective | year=2012|journal= Comp. Aid. Geom. Des.|volume=29|issue=6 |pages=379β419|doi=10.1016/j.cagd.2012.03.001}} * {{cite journal|first1=Xiaoyan|last1=Chen|first2=Jieqing|last2=Tan|first3=Zhi|last3=Liu|first4=Jin|last4=Xie| title=Approximations of functions by a new family of generalized Bernstein operators|journal=J. Math. Ann. Applic. | year=2017 | volume=450 | pages=244β261 | doi=10.1016/j.jmaa.2016.12.075|doi-access=free}} * {{mathworld|urlname=BernsteinPolynomial|title=Bernstein Polynomial}} * {{PlanetMath attribution|urlname=BernsteinPolynomial|title=properties of Bernstein polynomial}} {{DEFAULTSORT:Bernstein Polynomial}} [[Category:Numerical analysis]] [[Category:Polynomials]] [[Category:Articles containing proofs]]
Edit summary
(Briefly describe your changes)
By publishing changes, you agree to the
Terms of Use
, and you irrevocably agree to release your contribution under the
CC BY-SA 4.0 License
and the
GFDL
. You agree that a hyperlink or URL is sufficient attribution under the Creative Commons license.
Cancel
Editing help
(opens in new window)