# On the Generalized Hyers-Ulam-Rassias Stability of Quadratic Functional Equations

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We investigate the generalized Hyers-Ulam-Rassias stability of the system of functional equations: f(xy) = f(x)f(y), f(2x + y) + f(2x - y) = 2f(x + y) + 2f(x - y) + 12f(x), on Banach algebras. Indeed we establish the superstability of this system by suitable control functions.

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Let 3 â‰¤ n, and 3 â‰¤ k â‰¤ n be positive integers. Let A be an algebra and let X be an Abimodule. A C-linear mapping d : A â†’ X is called a generalized (n, k)-derivation if there exists a (k âˆ’ 1)-derivation Î´ : A â†’ X such that d(a1a2 Â· Â· Â· an) =...

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)1/4 for some u with (k,r) = d where k divides a3+b3 and r is a common factor of a and b.r3u d3 - Simulation of 3-D Teleseismic SV-waves Accelerated by the Multilevel Fast Multipole Method. Çakir, Özcan // Pure & Applied Geophysics;Sep2008, Vol. 165 Issue 9/10, p1707
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