Example 13.  Find the Chebyshev polynomial approximation for  [Graphics:Images/ChebyshevPolyMod_gr_606.gif], on the interval [Graphics:Images/ChebyshevPolyMod_gr_607.gif].  

Solution 13.

[Graphics:../Images/ChebyshevPolyMod_gr_608.gif]


[Graphics:../Images/ChebyshevPolyMod_gr_609.gif]

[Graphics:../Images/ChebyshevPolyMod_gr_610.gif]
[Graphics:../Images/ChebyshevPolyMod_gr_611.gif]

[Graphics:../Images/ChebyshevPolyMod_gr_612.gif]

[Graphics:../Images/ChebyshevPolyMod_gr_613.gif]
[Graphics:../Images/ChebyshevPolyMod_gr_614.gif]

[Graphics:../Images/ChebyshevPolyMod_gr_615.gif]

[Graphics:../Images/ChebyshevPolyMod_gr_616.gif]
[Graphics:../Images/ChebyshevPolyMod_gr_617.gif]

[Graphics:../Images/ChebyshevPolyMod_gr_618.gif]

[Graphics:../Images/ChebyshevPolyMod_gr_619.gif]
[Graphics:../Images/ChebyshevPolyMod_gr_620.gif]

[Graphics:../Images/ChebyshevPolyMod_gr_621.gif]

[Graphics:../Images/ChebyshevPolyMod_gr_622.gif]
[Graphics:../Images/ChebyshevPolyMod_gr_623.gif]

Animation 15.  ( Chebyshev Polynomial  Chebyshev Polynomial ).  Internet hyperlink.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

(c) John H. Mathews 2004