Geodesic
Asymptotic aspect of Jensen and Jensen type functional equations in multi-normed spaces
Wang, Zhihua1
1 School of Science, Hubei University of Technology, Wuhan, Hubei 430068, P. R. China
Journal of nonlinear sciences and its applications, Tome 8 (2015) no. 4, p. 402-411.

Voir la notice de l'article provenant de la source International Scientific Research Publications

In this paper, we investigate the Hyers-Ulam stability of additive functional equations of two forms: of ''Jensen'' and ''Jensen type'' in the framework of multi-normed spaces. We therefore provide a link between multi-normed spaces and functional equations. More precisely, we establish the Hyers-Ulam stability of functional equations of these types for mappings from Abelian groups into multi-normed spaces. We also prove the stability on a restricted domain and discuss an asymptotic behavior of functional equations of these types in the framework of multi-normed spaces.
DOI : 10.22436/jnsa.008.04.12
Classification : 39B52, 58K55
Keywords: Hyers-Ulam stability, Jensen and Jensen type functional equations, Multi-normed spaces, Asymptotic behavior.

Wang, Zhihua 1

1 School of Science, Hubei University of Technology, Wuhan, Hubei 430068, P. R. China 
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Wang, Zhihua. Asymptotic aspect of Jensen and Jensen type functional equations in multi-normed spaces. Journal of nonlinear sciences and its applications, Tome 8 (2015) no. 4, p. 402-411. doi : 10.22436/jnsa.008.04.12. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.008.04.12/

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