Example 8.  Find the Chebyshev polynomial approximation for  [Graphics:Images/ChebyshevPolyMod_gr_514.gif], on the interval [Graphics:Images/ChebyshevPolyMod_gr_515.gif].  

Solution 8.

[Graphics:../Images/ChebyshevPolyMod_gr_516.gif]


[Graphics:../Images/ChebyshevPolyMod_gr_517.gif]

[Graphics:../Images/ChebyshevPolyMod_gr_518.gif]
[Graphics:../Images/ChebyshevPolyMod_gr_519.gif]

[Graphics:../Images/ChebyshevPolyMod_gr_520.gif]

[Graphics:../Images/ChebyshevPolyMod_gr_521.gif]
[Graphics:../Images/ChebyshevPolyMod_gr_522.gif]

[Graphics:../Images/ChebyshevPolyMod_gr_523.gif]

[Graphics:../Images/ChebyshevPolyMod_gr_524.gif]
[Graphics:../Images/ChebyshevPolyMod_gr_525.gif]

[Graphics:../Images/ChebyshevPolyMod_gr_526.gif]

[Graphics:../Images/ChebyshevPolyMod_gr_527.gif]
[Graphics:../Images/ChebyshevPolyMod_gr_528.gif]

Animation 8.  ( Chebyshev Polynomial  Chebyshev Polynomial ).  Internet hyperlink.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

(c) John H. Mathews 2004