Summary

DescriptionHermite interpolation.svg	English: Example for Hermite interpolation. This version shows the smooth approximation in ${\displaystyle C^{1}}$, see File:Hermite.svg for a version which only approximates continuously.
Date	25 February 2011
Source	Own work
Author	Pberndt

Created using Maple with the following commands:

with(Statistics); with(plots); Xs := `<,>`(-2, -1, .5, 1, 2); Ys := `<,>`(-1, 3, 0, -3, -3);
f := Fit(a*x^4+b*x^3+c*x^2+d*x+e, Xs, Ys, x); display(plot(f, x = -2 .. 2, color = black, numpoints = 2000), plot(Xs, Ys, 
style = point), plot((eval(diff(f, x), x = .5))*(x-.5), x = -2 .. 2, linestyle = dash, color = red), plot(`<,>`(.5, .5),
`<,>`(-10, 10), color = black, linestyle = dot), gridlines, view = [-1 .. 2, -5 .. 5])

Licensing

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The person who associated a work with this deed has dedicated the work to the public domain by waiving all of their rights to the work worldwide under copyright law, including all related and neighboring rights, to the extent allowed by law. You can copy, modify, distribute and perform the work, even for commercial purposes, all without asking permission. http://creativecommons.org/publicdomain/zero/1.0/deed.enCC0Creative Commons Zero, Public Domain Dedicationfalsefalse

Category:CC-Zero#Hermite%20interpolation.svgCategory:Self-published work