On Functions with the Cauchy Difference Bounded by a Functional
On Functions with the Cauchy Difference Bounded by a Functional
K. Baron and Z. Kominek [2] have studied the functional inequality $$ f(x+y) - f(x) - f(y) \geq \phi (x,y), \hskip 1em x, y \in X , $$ under the assumptions that $X$ is a real linear space, $\phi $ is homogeneous with respect to the second variable and