Example 15.  Find the Chebyshev polynomial approximation for  [Graphics:Images/ChebyshevPolyMod_gr_639.gif], on the interval [Graphics:Images/ChebyshevPolyMod_gr_640.gif].  

Solution 15.

[Graphics:../Images/ChebyshevPolyMod_gr_641.gif]


[Graphics:../Images/ChebyshevPolyMod_gr_642.gif]

[Graphics:../Images/ChebyshevPolyMod_gr_643.gif]
[Graphics:../Images/ChebyshevPolyMod_gr_644.gif]

[Graphics:../Images/ChebyshevPolyMod_gr_645.gif]

[Graphics:../Images/ChebyshevPolyMod_gr_646.gif]
[Graphics:../Images/ChebyshevPolyMod_gr_647.gif]

[Graphics:../Images/ChebyshevPolyMod_gr_648.gif]

[Graphics:../Images/ChebyshevPolyMod_gr_649.gif]
[Graphics:../Images/ChebyshevPolyMod_gr_650.gif]

[Graphics:../Images/ChebyshevPolyMod_gr_651.gif]

[Graphics:../Images/ChebyshevPolyMod_gr_652.gif]
[Graphics:../Images/ChebyshevPolyMod_gr_653.gif]

Animation 19.  ( Chebyshev Polynomial  Chebyshev Polynomial ).  Internet hyperlink.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

(c) John H. Mathews 2004