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Bernstein polynomial
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==References== *{{citation|url=https://www.mn.uio.no/math/english/people/aca/michaelf/translations/bernstein_english.pdf|title=Démonstration du théorème de Weierstrass fondée sur le calcul des probabilités (Proof of the theorem of Weierstrass based on the calculus of probabilities)|first=S.|last= Bernstein|authorlink=S. Bernstein|journal= Comm. Kharkov Math. Soc.|volume=13 |year=1912|pages= 1–2}}, English translation *{{citation|first=G. G.|last= Lorentz|authorlink= George G. Lorentz| year=1953|title=Bernstein Polynomials|publisher=[[University of Toronto Press]]}} *{{citation|last=Akhiezer|first= N. I.|authorlink=Naum Akhiezer| title=Theory of approximation|translator= Charles J. Hyman| publisher=Frederick Ungar|year= 1956|language=ru|pages=30–31|url=https://archive.org/details/theoryofapproxim00akhi/page/30/mode/2up?q=bernstein}}, Russian edition first published in 1940 *{{citation|title=Lectures On Approximation By Polynomials|first=J. C. |last=Burkill|authorlink=J. C. Burkill| url=http://www.math.tifr.res.in/~publ/ln/tifr16.pdf|year=1959|publisher=[[Tata Institute of Fundamental Research]]|location=Bombay|pages=7–8}} *{{citation|last= Goldberg|first=Richard R.|title= Methods of real analysis|publisher =John Wiley & Sons|year=1964|pages=263–265|url=https://archive.org/details/in.ernet.dli.2015.134296/page/n243/mode/2up?q=bernstein}} * {{cite journal | last1=Caglar | first1=Hakan | last2=Akansu | first2=Ali N. | title=A generalized parametric PR-QMF design technique based on Bernstein polynomial approximation | zbl=0825.93863 | journal=IEEE Transactions on Signal Processing | volume=41 | number=7 | pages=2314–2321 | date=July 1993 | doi=10.1109/78.224242| bibcode=1993ITSP...41.2314C }} * {{springer|title=Bernstein polynomials|id=B/b015730|last=Korovkin|first=P.P.}} * {{cite book | last=Natanson | first=I.P. | authorlink=Isidor Natanson | title=Constructive function theory. Volume I: Uniform approximation | translator=Alexis N. Obolensky | zbl=0133.31101 | mr=0196340 | location=New York | publisher=Frederick Ungar | year=1964 }} *{{citation|last=Feller|first= William|authorlink=William Feller|title=An introduction to probability theory and its applications, Vol, II|publisher= John Wiley & Sons|year= 1966|pages=149–150, 218–222}} *{{citation|last=Beals|first= Richard|authorlink=Richard Beals (mathematician)|title=Analysis. An introduction|publisher=[[Cambridge University Press]]| year=2004|isbn= 0521600472|pages=95–98}}
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