JOINT RANGE OF RENYI ENTROPIES
The exact range of the joined values of several Renyi entropies is determined. The method is based on topology with special emphasis on the orientation of the objects studied. Like in the case when only two orders of the Renyi entropies are studied, one can parametrize the boundary of the range. An explicit formula for a tight upper or lower bound for one order of entropy in terms of another order of entropy cannot be given.
renyi entropies orientation generalized vandermonde determinant shannon entropy