## Journal of Applied Mathematics

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

#### Abstract

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.

#### Article information

Source
J. Appl. Math., Volume 2012 (2012), Article ID 691981, 12 pages.

Dates
First available in Project Euclid: 15 March 2012

https://projecteuclid.org/euclid.jam/1331817619

Digital Object Identifier
doi:10.1155/2012/691981

Mathematical Reviews number (MathSciNet)
MR2846449

Zentralblatt MATH identifier
1235.39019

#### Citation

Chung, Jae-Young; Kim, Dohan; Rassias, John Michael. Stability of Jensen-Type Functional Equations on Restricted Domains in a Group and Their Asymptotic Behaviors. J. Appl. Math. 2012 (2012), Article ID 691981, 12 pages. doi:10.1155/2012/691981. https://projecteuclid.org/euclid.jam/1331817619

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