The following problem has been proved to be a convex function by some transformation the details are in this paper Paper Download Convexity Proof
\min_{f_1,f_2} [\exp( \frac{d_1f_1}{\tau f_1 - d_1c_1}) -1] \frac{\tau f_1 - d_1c_1}{f_1} \exp(\frac{d_2f_2}{\tau f_2 - d_2c_2}) + [\exp( \frac{d_2f_2}{\tau f_2 - d_2c_2}) -1] \frac{\tau f_2 - d_2c_2}{f_2}
subject to
0< \exp( \frac{d_2f_2}{\tau f_2 - d_2c_2})[\exp(\frac{d_1f_1}{\tau f_1 - d_1c_1}) -1] \leq P
0< \exp( \frac{d_2f_2}{\tau f_2 - d_2c_2}) -1 \leq P
f_1 + f_2 \leq F
f_1 > 0 ,f_2 >0
my variables are f_1,f_2 and all other constants are positive. I want the right way to input the dual problem of this problem to the CVX.
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