log(1+1/x) convex function of x. How to implement this function in CVX fitting DCP rule?

The feasible region is x>=0. It can be proved as a convex function.

I have tried -rel_entr, but it does not work. Any ideas? Thanks.

log(1+1/x) convex function of x. How to implement this function in CVX fitting DCP rule?

The feasible region is x>=0. It can be proved as a convex function.

I have tried -rel_entr, but it does not work. Any ideas? Thanks.

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This is a special case of the solution by @Michal_Adamaszek at Writing x*log(1+x/y) .

`rel_entr(x+1,x) + rel_entr(x,x+1)`