Example 6.  Find the Chebyshev polynomial approximation for  [Graphics:Images/ChebyshevPolyMod_gr_456.gif], on the interval [Graphics:Images/ChebyshevPolyMod_gr_457.gif], [Graphics:Images/ChebyshevPolyMod_gr_458.gif], and [Graphics:Images/ChebyshevPolyMod_gr_459.gif].  

Solution 6 (b).

[Graphics:../Images/ChebyshevPolyMod_gr_473.gif]


[Graphics:../Images/ChebyshevPolyMod_gr_474.gif]

[Graphics:../Images/ChebyshevPolyMod_gr_475.gif]
[Graphics:../Images/ChebyshevPolyMod_gr_476.gif]

[Graphics:../Images/ChebyshevPolyMod_gr_477.gif]

[Graphics:../Images/ChebyshevPolyMod_gr_478.gif]
[Graphics:../Images/ChebyshevPolyMod_gr_479.gif]

[Graphics:../Images/ChebyshevPolyMod_gr_480.gif]

[Graphics:../Images/ChebyshevPolyMod_gr_481.gif]
[Graphics:../Images/ChebyshevPolyMod_gr_482.gif]

[Graphics:../Images/ChebyshevPolyMod_gr_483.gif]

[Graphics:../Images/ChebyshevPolyMod_gr_484.gif]
[Graphics:../Images/ChebyshevPolyMod_gr_485.gif]

Animation 5.  ( Chebyshev Polynomial  Chebyshev Polynomial ).  Internet hyperlink.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

(c) John H. Mathews 2004