Example 14.  Find the Chebyshev polynomial approximation for  [Graphics:Images/ChebyshevPolyMod_gr_624.gif], on the interval [Graphics:Images/ChebyshevPolyMod_gr_625.gif].  

Solution 14.

[Graphics:../Images/ChebyshevPolyMod_gr_626.gif]


[Graphics:../Images/ChebyshevPolyMod_gr_627.gif]

[Graphics:../Images/ChebyshevPolyMod_gr_628.gif]
[Graphics:../Images/ChebyshevPolyMod_gr_629.gif]

[Graphics:../Images/ChebyshevPolyMod_gr_630.gif]

[Graphics:../Images/ChebyshevPolyMod_gr_631.gif]
[Graphics:../Images/ChebyshevPolyMod_gr_632.gif]

[Graphics:../Images/ChebyshevPolyMod_gr_633.gif]

[Graphics:../Images/ChebyshevPolyMod_gr_634.gif]
[Graphics:../Images/ChebyshevPolyMod_gr_635.gif]

[Graphics:../Images/ChebyshevPolyMod_gr_636.gif]

[Graphics:../Images/ChebyshevPolyMod_gr_637.gif]
[Graphics:../Images/ChebyshevPolyMod_gr_638.gif]

Animation 18.  ( Chebyshev Polynomial  Chebyshev Polynomial ).  Internet hyperlink.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

(c) John H. Mathews 2004