  Generalized versions of the entropic (Hirschman-Beckner) and support
(Elad-Bruckstein) uncertainty principle are presented for frames
representations. Moreover, a sharpened version of the support inequality has
been obtained by introducing a generalization of the coherence. In the finite
dimensional case and under certain conditions, minimizers of this inequalities
are given as constant functions on their support. In addition, $\ell^p$-norms
inequalities are introduced as byproducts of the entropic inequalities.
