Journal of Inequalities and Applications (Jan 2011)
The stability of functional equation min{<it>f</it>(<it>x </it>+ <it>y</it>), <it>f</it>(<it>x </it>- <it>y</it>)} = |<it>f</it>(<it>x</it>) - <it>f</it>(<it>y</it>)|
Abstract
Abstract In this paper, we prove the stability of the functional equation min {f(x + y), f(x - y)} = |f(x) - f(y)| in the class of real, continuous functions of real variable. MSC2010: 39B82; 39B22