Example 6.  Find the Chebyshev polynomial approximation for  [Graphics:Images/ChebyshevPolyMod_gr_456.gif], on the interval [Graphics:Images/ChebyshevPolyMod_gr_457.gif], [Graphics:Images/ChebyshevPolyMod_gr_458.gif], and [Graphics:Images/ChebyshevPolyMod_gr_459.gif].  

Solution 6 (c).

[Graphics:../Images/ChebyshevPolyMod_gr_486.gif]


[Graphics:../Images/ChebyshevPolyMod_gr_487.gif]

[Graphics:../Images/ChebyshevPolyMod_gr_488.gif]
[Graphics:../Images/ChebyshevPolyMod_gr_489.gif]

[Graphics:../Images/ChebyshevPolyMod_gr_490.gif]

[Graphics:../Images/ChebyshevPolyMod_gr_491.gif]
[Graphics:../Images/ChebyshevPolyMod_gr_492.gif]

[Graphics:../Images/ChebyshevPolyMod_gr_493.gif]

[Graphics:../Images/ChebyshevPolyMod_gr_494.gif]
[Graphics:../Images/ChebyshevPolyMod_gr_495.gif]

[Graphics:../Images/ChebyshevPolyMod_gr_496.gif]

[Graphics:../Images/ChebyshevPolyMod_gr_497.gif]
[Graphics:../Images/ChebyshevPolyMod_gr_498.gif]

Animation 6.  ( Chebyshev Polynomial  Chebyshev Polynomial ).  Internet hyperlink.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

(c) John H. Mathews 2004