Stability of generalized additive Cauchy equations

Soon-Mo Jung and Ki-Suk Lee

International Journal of Mathematics and Mathematical Sciences, 2000, vol. 24, 1-7

Abstract:

A familiar functional equation f ( a x + b ) = c f ( x ) will be solved in the class of functions f : ℝ → ℝ . Applying this result we will investigate the Hyers-Ulam-Rassias stability problem of the generalized additive Cauchy equation f ( a 1 x 1 + ⋯ + a m x m + x 0 ) = ∑ i = 1 m b i f ( a i 1 x 1 + ⋯ + a i m x m ) in connection with the question of Rassias and Tabor.

Date: 2000
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:931824

DOI: 10.1155/S0161171200005184

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