Example 11.  Find the Chebyshev polynomial approximation for  [Graphics:Images/ChebyshevPolyMod_gr_576.gif], on the interval [Graphics:Images/ChebyshevPolyMod_gr_577.gif].  

Solution 11.

[Graphics:../Images/ChebyshevPolyMod_gr_578.gif]


[Graphics:../Images/ChebyshevPolyMod_gr_579.gif]

[Graphics:../Images/ChebyshevPolyMod_gr_580.gif]
[Graphics:../Images/ChebyshevPolyMod_gr_581.gif]

[Graphics:../Images/ChebyshevPolyMod_gr_582.gif]

[Graphics:../Images/ChebyshevPolyMod_gr_583.gif]
[Graphics:../Images/ChebyshevPolyMod_gr_584.gif]

[Graphics:../Images/ChebyshevPolyMod_gr_585.gif]

[Graphics:../Images/ChebyshevPolyMod_gr_586.gif]
[Graphics:../Images/ChebyshevPolyMod_gr_587.gif]

[Graphics:../Images/ChebyshevPolyMod_gr_588.gif]

[Graphics:../Images/ChebyshevPolyMod_gr_589.gif]
[Graphics:../Images/ChebyshevPolyMod_gr_590.gif]

Animation 13.  ( Chebyshev Polynomial  Chebyshev Polynomial ).  Internet hyperlink.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

(c) John H. Mathews 2004