On the Ulam-Hyers stability of a quadratic functional equation

The Ulam-Hyers stability problems of the following quadratic equation r 2 f x + y r + r 2 f x - y r = 2 f ( x ) + 2 f ( y ) , where r is a nonzero rational number, shall be treated. The case r = 2 was introduced by J. M. Rassias in 1999. Furthermore, we prove the stability of the quadratic equation...

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Veröffentlicht in:	Journal of inequalities and applications 2011-10, Vol.2011 (1), p.1-9, Article 79
Hauptverfasser:	Lee, Sang-Baek, Park, Won-Gil, Bae, Jae-Hyeong
Format:	Artikel
Sprache:	eng
Schlagworte:	Analysis Applications of Mathematics Classification Hyers-Ulam stability Inequalities Mathematical analysis Mathematics Mathematics and Statistics Quadratic equations quadratic function Stability
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Zusammenfassung:	The Ulam-Hyers stability problems of the following quadratic equation r 2 f x + y r + r 2 f x - y r = 2 f ( x ) + 2 f ( y ) , where r is a nonzero rational number, shall be treated. The case r = 2 was introduced by J. M. Rassias in 1999. Furthermore, we prove the stability of the quadratic equation by using the fixed point method. 2010 Mathematics Subject Classification : 39B22; 39B52; 39B72.
ISSN:	1029-242X 1025-5834 1029-242X
DOI:	10.1186/1029-242X-2011-79