Handy Polynomial Fitting with Bernstein Polynomials

11122018, 02:09 PM
Post: #9




RE: Handy Polynomial Fitting with Bernstein Polynomials
(11122018 01:21 PM)Thomas Okken Wrote: I vaguely remember learning about Chebyshev polynomials for this purpose. They are mentioned in the section: Change of interpolation points. Quote:As I recall, Chebyshev fits have the nice property of having a hard upper bound on the error, which is within a constant (a factor of about 3 IIRC) of the worstcase error of the optimal fit. I'd have to dig around to find that textbook, though, it may have been lost in the mists of time... It appears to be even better: Quote:Therefore, when the interpolation nodes x_{i} are the roots of T_{n}, the error satisfies: Cheers Thomas 

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Messages In This Thread 
Handy Polynomial Fitting with Bernstein Polynomials  Namir  11102018, 10:22 PM
RE: Handy Polynomial Fitting with Bernstein Polynomials  Valentin Albillo  11112018, 03:10 AM
RE: Handy Polynomial Fitting with Bernstein Polynomials  Namir  11112018, 06:00 AM
RE: Handy Polynomial Fitting with Bernstein Polynomials  Thomas Klemm  11112018, 05:12 AM
RE: Handy Polynomial Fitting with Bernstein Polynomials  Thomas Klemm  11112018, 01:39 PM
RE: Handy Polynomial Fitting with Bernstein Polynomials  Namir  11112018, 01:51 PM
RE: Handy Polynomial Fitting with Bernstein Polynomials  Thomas Klemm  11122018, 05:39 AM
RE: Handy Polynomial Fitting with Bernstein Polynomials  Thomas Okken  11122018, 01:21 PM
RE: Handy Polynomial Fitting with Bernstein Polynomials  Thomas Klemm  11122018 02:09 PM

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