Hi all

Assume that we have construct new orthogonal Hybrid function of block pulse and bernstein poly nomials as follow:

and assume that we want to approximate a function as follows:

how can we do this with maple????Indeed we want to optimize using this hybrid functions

note that the degree of bernstein polynomials is fix or should be fixed...and

regards

Mahmood   Dadkhah

Ph.D Candidate

Applied Mathematics Department

Hi All

Assume that we have:

and the hybrid function with block pulses with the following form:

if we want to introduce this form to maple so that we can do:

then how can we do this????

especially if we want to approximate t or t^2 or sin(3*t) by mentioned form, how maple can help us?

thanks a lot for coming answers 

Mahmood   Dadkhah

Ph.D Candidate

Applied Mathematics Department

Hi All. Hope all is well.

Assume that we have partitioned [0,a], into N equidistant subintervals and in each subinterval we have M sets of polynomials of arbitrary form[say b_ij(t)](a.e Taylor series, or Bernstein series,…)

for Example with N=4, M=3 and by Taylor series we have:

now we want to approximate a function, asy f(t), in this interval with following form:

If we have:

(Tau is a constant number)
then: How can  we find L and Z matrices using maple? Is it any way? (or other softwares?)

Regards

Mahmood   Dadkhah

Ph.D Candidate

Applied Mathematics Department

Hi all.

Assume that we have partitioned [0,a], into N equidistant subintervals and in each subinterval we have M sets of poly nomials of the following form:

where T_m(t)=t^m( namely Taylor Series) and t_f is a(final point)
for Example with N=4, M=3 we have:

now we want to approximate a function, asy f(t), in this interval with following form:

How can we do this with maple????

how can we find the c_i's?????

Thanks a lot

Mahmood   Dadkhah

Ph.D Candidate

Applied Mathematics Department

Hi all;

Hope all of you  be in good health

I want to construct a special function b_{nm}(t) like:

with piecewise command i did it but the result is incorrect.

any one can help me to do it?

Best wishes

Mahmood   Dadkhah

Ph.D Candidate

Applied Mathematics Department