Example 17.  Find the Chebyshev polynomial approximation for  [Graphics:Images/ChebyshevPolyMod_gr_669.gif], on the interval [Graphics:Images/ChebyshevPolyMod_gr_670.gif].  

Solution 17.

[Graphics:../Images/ChebyshevPolyMod_gr_671.gif]


[Graphics:../Images/ChebyshevPolyMod_gr_672.gif]

[Graphics:../Images/ChebyshevPolyMod_gr_673.gif]
[Graphics:../Images/ChebyshevPolyMod_gr_674.gif]

[Graphics:../Images/ChebyshevPolyMod_gr_675.gif]

[Graphics:../Images/ChebyshevPolyMod_gr_676.gif]
[Graphics:../Images/ChebyshevPolyMod_gr_677.gif]

[Graphics:../Images/ChebyshevPolyMod_gr_678.gif]

[Graphics:../Images/ChebyshevPolyMod_gr_679.gif]
[Graphics:../Images/ChebyshevPolyMod_gr_680.gif]

[Graphics:../Images/ChebyshevPolyMod_gr_681.gif]

[Graphics:../Images/ChebyshevPolyMod_gr_682.gif]
[Graphics:../Images/ChebyshevPolyMod_gr_683.gif]

Animation 22.  ( Chebyshev Polynomial  Chebyshev Polynomial ).  Internet hyperlink.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

(c) John H. Mathews 2004