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Fuzzy Stability of Jensen‐Type Quadratic Functional Equations

Sun-Young Jang, Jung Rye Lee, Choonkil Park and Dong Yun Shin

Abstract and Applied Analysis, 2009, vol. 2009, issue 1

Abstract: We prove the generalized Hyers‐Ulam stability of the following quadratic functional equations 2f((x + y)/2) + 2f((x − y)/2) = f(x) + f(y) and f(ax + ay) + (ax − ay) = 2a2f(x) + 2a2f(y) in fuzzy Banach spaces for a nonzero real number a with a ≠ ±1/2.

Date: 2009
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https://doi.org/10.1155/2009/535678

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