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.
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