JIPAM

Stability of a Generalized Mixed Type Additive, Quadratic, Cubic and Quartic Functional Equation  
 
  Authors: K. Ravi, John Michael Rassias, M. Arunkumar, R. Kodandan,  
  Keywords: Additive function, Quadratic function, Cubic function, Quartic function, Generalized Hyers-Ulam-Rassias stability, Ulam-Gavruta-Rassias stability, J.M. Rassias stability.  
  Date Received: 06/07/2009  
  Date Accepted: 06/11/2009  
  Subject Codes:

39B52, 39B82

  
  Editors: Sever S. Dragomir,  
 
  Abstract:

In this paper, we obtain the general solution and the generalized Hyers-Ulam-Rassias stability of the generalized mixed type of functional equation

egin{multline*} fleft( {x + ay} ight) + fleft( {x - ay} ight) = a^2 lef... ...right) - 4fleft( y ight) - 4fleft( { - y} ight)} ight]. end{multline*}

for fixed integers $ a$ with $ a<br />eq 0, pm 1$. ;


This article was printed from JIPAM
http://jipam.vu.edu.au

The URL for this article is:
http://jipam.vu.edu.au/article.php?sid=1170