Generalized Hyers - Ulam Stability of Additive - Quadratic - Cubic - Quartic Functional Equation in Fuzzy Normed Spaces: A Direct Method
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Keywords:
Fuzzy normed space, Additive, quadratic, cubic and quartic functional equation, Generalized Hyers-Ulam-Rassias stabilityAbstract
In this paper, the authors investigate the generalized Hyers-Ulam-stability of AQCQ functional equation \begin{align*} f(x+2y)+f(x-2y)&=4f(x+y)-4f(x-y)-6f(x)+f(2y)\\ &+f(-2y)-4f(y)-4f(-y) \end{align*} in fuzzy normed spaces using direct method.
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