Fuzzy Almost Quadratic Functions

By Alireza Kamel Mirmostafaee, Mohammad Sal Moslehian. 2007

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Abstract.We approximate a fuzzy almost quadratic function by a quadratic function in a fuzzy sense. More precisely, we establish a fuzzy Hyers–Ulam–Rassias stability of the quadratic functional equation f(x + y) + f(x − y) = 2f(x) + 2f(y). Our result can be regarded as a generalization of the stability phenomenon in the framework of normed spaces. We also prove a generalized version of fuzzy stability of the Pexiderized quadratic functional equation f(x + y) + f(x − y) = 2g(x) + 2h(y).

Subfields: Applied Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/85e8af3989000d5b41d7eea79c9d2837ede57531