  Generalizing older works of Domar and Armitage and Gardiner, we give an
inequality for quasinearly subharmonic functions. As an application of this
inequality, we improve Domar's, Rippon's and our previous results concerning
the existence of the largest subharmonic minorant of a given function.
Moreover, and as an another application, we give a sufficient condition for a
separately quasinearly subharmonic function to be quasinearly subharmonic. Our
result contains the previous results of Lelong, of Avanissian, of Arsove, of
Armitage and Gardiner, and of ours.
