Abstract
In this paper we establish the general solution of mixed additive and quadratic functional equation \begin{equation*} f(x+2y) + f(x-2y) + 8f(y) = 2f(x) + 4f(2y) \end{equation*} and investigate the generalized Hyers-Ulam-Rassias stability of this equation in non-Archimedean Banach modules over a unital Banach algebra.
Citation
G. Zamani Eskandani. Hamid Vaezi. Y. N. Dehghan. "STABILITY OF A MIXED ADDITIVE AND QUADRATIC FUNCTIONAL EQUATION IN NON-ARCHIMEDEAN BANACH MODULES." Taiwanese J. Math. 14 (4) 1309 - 1324, 2010. https://doi.org/10.11650/twjm/1500405948
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