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Approximation of a Mixed Functional Equation in Quasi-Banach Spaces  
 
  Authors: Abbas Najati, G. Zamani Eskandani,  
  Keywords: Generalized Hyers-Ulam stability, additive function, cubic function, quasi-Banach space, $p$-Banach space.  
  Date Received: 17/08/08  
  Date Accepted: 07/02/09  
  Subject Codes:

Pri: 39B72, 46B03, 47Jxx.

  
  Editors: Themistocles M. Rassias,  
 
  Abstract:

In this paper we establish the general solution of the functional equation

$displaystyle f(2x+y)+f(x+2y)=6f(x+y)+f(2x)+f(2y)-5[f(x)+f(y)]$
and investigate its generalized Hyers-Ulam stability in quasi-Banach spaces. The concept of Hyers-Ulam-Rassias stability originated from Th.M. Rassias' stability theorem that appeared in his paper: On the stability of the linear mapping in Banach spaces, Proc. Amer. Math. Soc. 72 (1978), 297-300.;


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