Example 16.  Find the Chebyshev polynomial approximation for  [Graphics:Images/ChebyshevPolyMod_gr_654.gif], on the interval [Graphics:Images/ChebyshevPolyMod_gr_655.gif].  

Solution 16.

[Graphics:../Images/ChebyshevPolyMod_gr_656.gif]


[Graphics:../Images/ChebyshevPolyMod_gr_657.gif]

[Graphics:../Images/ChebyshevPolyMod_gr_658.gif]
[Graphics:../Images/ChebyshevPolyMod_gr_659.gif]

[Graphics:../Images/ChebyshevPolyMod_gr_660.gif]

[Graphics:../Images/ChebyshevPolyMod_gr_661.gif]
[Graphics:../Images/ChebyshevPolyMod_gr_662.gif]

[Graphics:../Images/ChebyshevPolyMod_gr_663.gif]

[Graphics:../Images/ChebyshevPolyMod_gr_664.gif]
[Graphics:../Images/ChebyshevPolyMod_gr_665.gif]

[Graphics:../Images/ChebyshevPolyMod_gr_666.gif]

[Graphics:../Images/ChebyshevPolyMod_gr_667.gif]
[Graphics:../Images/ChebyshevPolyMod_gr_668.gif]

Animation 20.  ( Chebyshev Polynomial  Chebyshev Polynomial ).  Internet hyperlink.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

(c) John H. Mathews 2004