Example 9.  Find the Chebyshev polynomial approximation for  [Graphics:Images/ChebyshevPolyMod_gr_529.gif], on the interval [Graphics:Images/ChebyshevPolyMod_gr_530.gif], and [Graphics:Images/ChebyshevPolyMod_gr_531.gif].  

Solution 9 (a).

[Graphics:../Images/ChebyshevPolyMod_gr_532.gif]


[Graphics:../Images/ChebyshevPolyMod_gr_533.gif]

[Graphics:../Images/ChebyshevPolyMod_gr_534.gif]
[Graphics:../Images/ChebyshevPolyMod_gr_535.gif]

[Graphics:../Images/ChebyshevPolyMod_gr_536.gif]

[Graphics:../Images/ChebyshevPolyMod_gr_537.gif]
[Graphics:../Images/ChebyshevPolyMod_gr_538.gif]

[Graphics:../Images/ChebyshevPolyMod_gr_539.gif]

[Graphics:../Images/ChebyshevPolyMod_gr_540.gif]
[Graphics:../Images/ChebyshevPolyMod_gr_541.gif]

[Graphics:../Images/ChebyshevPolyMod_gr_542.gif]

[Graphics:../Images/ChebyshevPolyMod_gr_543.gif]
[Graphics:../Images/ChebyshevPolyMod_gr_544.gif]

Animation 9.  ( Chebyshev Polynomial  Chebyshev Polynomial ).  Internet hyperlink.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

(c) John H. Mathews 2004