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>)|

• Main Author: Przebieracz Barbara
• Format: Article
• Language: English
• Published: SpringerOpen 2011-01-01
• Series: Journal of Inequalities and Applications
• Subjects: stability of functional equations; absolute value of additive mappings
• Online Access: http://www.journalofinequalitiesandapplications.com/content/2011/1/22
• ISSN: 1025-5834; 1029-242X

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