On the Generalized Hyers‐Ulam‐Rassias Stability of Quadratic Functional Equations

M. Eshaghi Gordji and H. Khodaei

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

Abstract: We achieve the general solution and the generalized Hyers‐Ulam‐Rassias and Ulam‐Gavruta‐Rassias stabilities for quadratic functional equations f(ax + by) + f(ax − by) = (b(a + b)/2)f(x + y) + (b(a + b)/2)f(x − y) + (2a2 − ab − b2)f(x) + (b2 − ab)f(y) where a, b are nonzero fixed integers with b ≠ ±a, −3a, and f(ax + by) + f(ax − by) = 2a2f(x) + 2b2f(y) for fixed integers a, b with a, b ≠ 0 and a ± b ≠ 0.

Date: 2009
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https://doi.org/10.1155/2009/923476

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2009:y:2009:i:1:n:923476

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