The headword in this precise form -- feminine nominative plural of this perfect passive participle -- is attested only in lexicography; see esp. ps.-Zonaras s.v., where the determining noun is revealed as h(me/rai ("days"). The headword verb dhmeu/w more usually means to declare (something) public property, to confiscate (cf. delta 424), and the glossing verb a)pagoreu/w more usually means to forbid, to renounce (cf. alpha 2866, alpha 2867); both verbs can, nevertheless, mean to announce publicly (see LSJ ss.vv.).
Andrés Rodríguez Cumplido points out that the neuter plural of a related verb, dedhmosieume/na, occurs in Aristotle, Rhetoric 1395a20 (web address 1), referring to "popular sayings." For dedhmeume/na see e.g. Plato, Philebus 14D-E.