Example 12.  Find the Chebyshev polynomial approximation for  [Graphics:Images/ChebyshevPolyMod_gr_591.gif], on the interval [Graphics:Images/ChebyshevPolyMod_gr_592.gif].  

Solution 12.

[Graphics:../Images/ChebyshevPolyMod_gr_593.gif]


[Graphics:../Images/ChebyshevPolyMod_gr_594.gif]

[Graphics:../Images/ChebyshevPolyMod_gr_595.gif]
[Graphics:../Images/ChebyshevPolyMod_gr_596.gif]

[Graphics:../Images/ChebyshevPolyMod_gr_597.gif]

[Graphics:../Images/ChebyshevPolyMod_gr_598.gif]
[Graphics:../Images/ChebyshevPolyMod_gr_599.gif]

[Graphics:../Images/ChebyshevPolyMod_gr_600.gif]

[Graphics:../Images/ChebyshevPolyMod_gr_601.gif]
[Graphics:../Images/ChebyshevPolyMod_gr_602.gif]

[Graphics:../Images/ChebyshevPolyMod_gr_603.gif]

[Graphics:../Images/ChebyshevPolyMod_gr_604.gif]
[Graphics:../Images/ChebyshevPolyMod_gr_605.gif]

Animation 14.  ( Chebyshev Polynomial  Chebyshev Polynomial ).  Internet hyperlink.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

(c) John H. Mathews 2004