- 23

- 0

[tex]\sum_{i=1}^{N}\alpha_i e^{-\beta_i t}[/tex].

That is, find such [tex]\alpha_i[/tex], [tex]Re(\beta_i)\geq 0[/tex] satisfying the expression:

[tex]\min_{\alpha_i, ~\beta_i}\left( \max_{t\in [t_0;t_1]} \left| f(t)-\sum_{i=1}^{N}\alpha_i e^{-\beta_i t}\right| \right)[/tex]

Also consider a function specified on [tex][t_0;+\infty)[/tex]

Thanks for any ideas!!