Question: How to produce that approximation?

Hi all

Assume that we have folowings:

Assume that we devide [0,1] to N subintervals and in each subinterval we have:

Also we want to approximate arbitrary function x(t) with following manner:


How can we produce these basic polynomials?

Thanks in advance


Mahmood   Dadkhah

Ph.D Candidate

Applied Mathematics Department

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