GENERALIZED STABILITY OF EULER-LAGRANGE TYPE QUADRATIC MAPPINGS

Abstract

In this paper, we investigate the generalized HyersUlam-Rasssias stability of the following Euler-Lagrange type quadratic functional equation f (ax + by + cz) + f (ax + by − cz) + f (ax − by + cz) + f (ax − by − cz) = 4a2f (x) + 4b2f (y) + 4c2f (z).

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