Example 10.  Find the Chebyshev polynomial approximation for  [Graphics:Images/ChebyshevPolyMod_gr_558.gif], on the interval [Graphics:Images/ChebyshevPolyMod_gr_559.gif].  

Solution 10.

[Graphics:../Images/ChebyshevPolyMod_gr_560.gif]


[Graphics:../Images/ChebyshevPolyMod_gr_561.gif]

[Graphics:../Images/ChebyshevPolyMod_gr_562.gif]
[Graphics:../Images/ChebyshevPolyMod_gr_563.gif]

[Graphics:../Images/ChebyshevPolyMod_gr_564.gif]

[Graphics:../Images/ChebyshevPolyMod_gr_565.gif]
[Graphics:../Images/ChebyshevPolyMod_gr_566.gif]

[Graphics:../Images/ChebyshevPolyMod_gr_567.gif]

[Graphics:../Images/ChebyshevPolyMod_gr_568.gif]
[Graphics:../Images/ChebyshevPolyMod_gr_569.gif]

[Graphics:../Images/ChebyshevPolyMod_gr_570.gif]

[Graphics:../Images/ChebyshevPolyMod_gr_571.gif]
[Graphics:../Images/ChebyshevPolyMod_gr_572.gif]

[Graphics:../Images/ChebyshevPolyMod_gr_573.gif]

[Graphics:../Images/ChebyshevPolyMod_gr_574.gif]
[Graphics:../Images/ChebyshevPolyMod_gr_575.gif]

Animation 12.  ( Chebyshev Polynomial  Chebyshev Polynomial ).  Internet hyperlink.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

(c) John H. Mathews 2004