Abstract
AbstractIn the present paper we are concerned with the problem of characterization of maps which can be expressed as an affine difference i.e. a map of the form $$\begin{aligned} tf(x)+(1-t)f(y)-f(tx+(1-t)y), \end{aligned}$$
t
f
(
x
)
+
(
1
-
t
)
f
(
y
)
-
f
(
t
x
+
(
1
-
t
)
y
)
,
where $$t\in (0,1)$$
t
∈
(
0
,
1
)
is a given number. We give a general solution of the functional equation associated with this problem.
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Discrete Mathematics and Combinatorics,General Mathematics
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