Example 7.  Find the Chebyshev polynomial approximation for  [Graphics:Images/ChebyshevPolyMod_gr_499.gif], on the interval [Graphics:Images/ChebyshevPolyMod_gr_500.gif].  

Solution 7.

[Graphics:../Images/ChebyshevPolyMod_gr_501.gif]


[Graphics:../Images/ChebyshevPolyMod_gr_502.gif]

[Graphics:../Images/ChebyshevPolyMod_gr_503.gif]
[Graphics:../Images/ChebyshevPolyMod_gr_504.gif]

[Graphics:../Images/ChebyshevPolyMod_gr_505.gif]

[Graphics:../Images/ChebyshevPolyMod_gr_506.gif]
[Graphics:../Images/ChebyshevPolyMod_gr_507.gif]

[Graphics:../Images/ChebyshevPolyMod_gr_508.gif]

[Graphics:../Images/ChebyshevPolyMod_gr_509.gif]
[Graphics:../Images/ChebyshevPolyMod_gr_510.gif]

[Graphics:../Images/ChebyshevPolyMod_gr_511.gif]

[Graphics:../Images/ChebyshevPolyMod_gr_512.gif]
[Graphics:../Images/ChebyshevPolyMod_gr_513.gif]

Animation 7.  ( Chebyshev Polynomial  Chebyshev Polynomial ).  Internet hyperlink.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

(c) John H. Mathews 2004