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Generalized Jensen's Functional Equations and Approximate Algebra Homomorphisms

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Abstract

We prove the generalized Hyers-Ulam-Rassias stability of generalizedJensen's functional equations in Banach modules over a unital C^*-algebra.It is applied to show the stability of algebra homomorphisms between Banachalgebras associated with generalized Jensen's functional equations in Banachalgebras. We prove the generalized Hyers-Ulam-Rassias stability of generalizd%Jensen's functional equations in Banach modules over a unital C^*-algebra.%It is applied to show the stability of algebra homomorphisms between Banach%algebras associated with generalizd Jensen's functional equations in Banach%algebras.

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