The stability of d'Alembert and Jensen type functional equations☆

By Gwang Hui Kim. 2007

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Abstract The aim of this paper is to study the stability problem of the d'Alembert type and Jensen type functional equations: f ( x + y ) + f ( x + σ y ) = 2 g ( x ) f ( y ) , f ( x + y ) + f ( x + σ y ) = 2 f ( x ) g ( y ) , f ( x + y ) + f ( x + σ y ) = 2 f ( x ) .

Subfields: Applied Mathematics, Mathematical Physics

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