polynomial equation of chebfun

Asked by Elamkumaran about 9 hours ago

I am beginner for chebfun. I need some basic understanding about the chebfun.

Sample code:

>> x = chebfun([2 4 6 8 10],[1 5]); where [2 4 6 8 10] data, and [1 5] is range

>> chebpoly(x) returns

>> 0 0.5858 0 3.4142 6.0000

As i understood, these are called coefficient of cheb polynomial function.

>> chebpolyval(x) returns

     2
     4
     6
     8
    10
>> chebpts(x) returns
    1.0000
    1.5858
    3.0000
    4.4142
    5.0000

Now the question is

1) We have the coefficients, but i dont how the polynomial equation will look like? How chebpolyval computing [ 2 4 6 8 10 ] value?

2) What exactly chebpts return value means?

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