Hyers‐Ulam Stability for a Class of Quadratic Functional Equations via a Typical Form

Chang Il Kim, Giljun Han and Seong-A. Shim

Abstract and Applied Analysis, 2013, vol. 2013, issue 1

Abstract: We investigate the following typical form of a certain class of quadratic functional equations: f(ax + by) + f(ax − by) + c[f(x + y) + f(x − y) − 2f(x) − 2f(y)] = 2a2f(x) + 2b2f(y). Furthermore, we provide a systematic program to prove the generalized Hyers‐Ulam stability for the class of functional equations via the stability for the typical form.

Date: 2013
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https://doi.org/10.1155/2013/283173

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:283173

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