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 (b).

[Graphics:../Images/ChebyshevPolyMod_gr_545.gif]


[Graphics:../Images/ChebyshevPolyMod_gr_546.gif]

[Graphics:../Images/ChebyshevPolyMod_gr_547.gif]
[Graphics:../Images/ChebyshevPolyMod_gr_548.gif]

[Graphics:../Images/ChebyshevPolyMod_gr_549.gif]

[Graphics:../Images/ChebyshevPolyMod_gr_550.gif]
[Graphics:../Images/ChebyshevPolyMod_gr_551.gif]

[Graphics:../Images/ChebyshevPolyMod_gr_552.gif]

[Graphics:../Images/ChebyshevPolyMod_gr_553.gif]
[Graphics:../Images/ChebyshevPolyMod_gr_554.gif]

[Graphics:../Images/ChebyshevPolyMod_gr_555.gif]

[Graphics:../Images/ChebyshevPolyMod_gr_556.gif]
[Graphics:../Images/ChebyshevPolyMod_gr_557.gif]

Animation 10.  ( Chebyshev Polynomial  Chebyshev Polynomial ).  Internet hyperlink.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

(c) John H. Mathews 2004