Affiliation:
1. Department of Mathematics, Faculty of Science, University of Ibn Tofail, Kenitra, Morocco
Abstract
In this paper, we study the hyperstability problem for the well-known
-Jensen’s functional equation
for all
, where
is a semigroup and
is an involution of
. We present sufficient conditions on
so that the inhomogeneous form of
-Jensen’s functional equation
for all
, where the inhomogeneity
is given, can be
-hyperstable on
.
Subject
Applied Mathematics,Analysis