Stability of Jensen-Type Functional Equations on Restricted Domains in a Group and Their Asymptotic Behaviors

Journal of Applied Mathematics (Impact Factor: 0.72). 01/2012; 2012. DOI: 10.1155/2012/691981
Source: DBLP


We consider the Hyers-Ulam stability problems for the Jensen-type functional
equations in general restricted domains. The main purpose of this paper is to
find the restricted domains for which the functional inequality satisfied in
those domains extends to the inequality for whole domain. As consequences of the
results we obtain asymptotic behavior of the equations.

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