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 (a).

[Graphics:../Images/ChebyshevPolyMod_gr_460.gif]


[Graphics:../Images/ChebyshevPolyMod_gr_461.gif]

[Graphics:../Images/ChebyshevPolyMod_gr_462.gif]
[Graphics:../Images/ChebyshevPolyMod_gr_463.gif]

[Graphics:../Images/ChebyshevPolyMod_gr_464.gif]

[Graphics:../Images/ChebyshevPolyMod_gr_465.gif]
[Graphics:../Images/ChebyshevPolyMod_gr_466.gif]

[Graphics:../Images/ChebyshevPolyMod_gr_467.gif]

[Graphics:../Images/ChebyshevPolyMod_gr_468.gif]
[Graphics:../Images/ChebyshevPolyMod_gr_469.gif]

[Graphics:../Images/ChebyshevPolyMod_gr_470.gif]

[Graphics:../Images/ChebyshevPolyMod_gr_471.gif]
[Graphics:../Images/ChebyshevPolyMod_gr_472.gif]

Animation 4.  ( Chebyshev Polynomial  Chebyshev Polynomial ).  Internet hyperlink.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

(c) John H. Mathews 2004