Volume 1, Number 3, 2011, Pages 411-425 DOI:10.11948/2011028 |
Stability of a cubic functional equation in fuzzy normed space |
K. Ravi,J. Rassias,P. Narasimman |
Keywords:Generalized Hyers-Ulam-Rassias stability |
Abstract: |
In this paper, the authors investigate the general solution of a new cubic functional equation \(\begin{equation*} 3f(x+3y)-f(3x+y)=12[f(x+y)+f(x-y)]+80f(y)-48f(x) \end{equation*}\) and discuss its generalized Hyers - Ulam - Rassias stability in Banach spaces and stability in fuzzy normed spaces. |
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