Generalized Stability of Euler‐Lagrange Quadratic Functional Equation

Hark-Mahn Kim and Min-Young Kim

Abstract and Applied Analysis, 2012, vol. 2012, issue 1

Abstract: The main goal of this paper is the investigation of the general solution and the generalized Hyers‐Ulam stability theorem of the following Euler‐Lagrange type quadratic functional equation f(ax + by) + af(x − by) = (a + 1)b2f(y) + a(a + 1)f(x), in (β, p)‐Banach space, where a, b are fixed rational numbers such that a ≠ −1,0 and b ≠ 0.

Date: 2012
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https://doi.org/10.1155/2012/219435

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2012:y:2012:i:1:n:219435

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