Example 18.  Find the Chebyshev polynomial approximation for  [Graphics:Images/ChebyshevPolyMod_gr_684.gif], on the interval [Graphics:Images/ChebyshevPolyMod_gr_685.gif].  

Solution 18.

[Graphics:../Images/ChebyshevPolyMod_gr_686.gif]

[Graphics:../Images/ChebyshevPolyMod_gr_687.gif]

[Graphics:../Images/ChebyshevPolyMod_gr_688.gif]
[Graphics:../Images/ChebyshevPolyMod_gr_689.gif]

[Graphics:../Images/ChebyshevPolyMod_gr_690.gif]

[Graphics:../Images/ChebyshevPolyMod_gr_691.gif]
[Graphics:../Images/ChebyshevPolyMod_gr_692.gif]

[Graphics:../Images/ChebyshevPolyMod_gr_693.gif]

[Graphics:../Images/ChebyshevPolyMod_gr_694.gif]
[Graphics:../Images/ChebyshevPolyMod_gr_695.gif]

[Graphics:../Images/ChebyshevPolyMod_gr_696.gif]

[Graphics:../Images/ChebyshevPolyMod_gr_697.gif]
[Graphics:../Images/ChebyshevPolyMod_gr_698.gif]

Animation 23.  ( Chebyshev Polynomial  Chebyshev Polynomial ).  Internet hyperlink.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

(c) John H. Mathews 2004