I have a function f[x_]:= 3*(x - Pi/2)*(Sin[4*x])^2 + 2*Cos[3*x], and I need to use LinearProgramming command to find coefficients c1, c2, c3 and c4 of a function g[x_]:= c1*Sin[2x] + c2*Sin[4x] + c3*Cos[x] + c4*Cos[3x], so that the maximum absolute error is minimized -> min (max Abs[f[x] - g[x]]), range x is from 0 to Pi.
Can someone please help me?
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1$\begingroup$ Why was this reposted? $\endgroup$– Daniel LichtblauJun 23, 2017 at 20:09
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$\begingroup$ No one answered me, and I have no idea how to do this. A suggestion was that I try FindFit, but that's not it. $\endgroup$– Cro Simpson2.0Jun 23, 2017 at 21:12
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$\begingroup$ Do you maybe know how to solve this with LinearProgramming? $\endgroup$– Cro Simpson2.0Jun 23, 2017 at 21:14
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$\begingroup$ Not offhand. But I think the Remez method does something with LP, minimizing maximal differences at Chebyshev node points. Or something along those lines. $\endgroup$– Daniel LichtblauJun 24, 2017 at 16:39
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