Stability of Functional Inequalities with Cauchy-Jensen Additive Mappings | Zendy

Young-Sun Cho | Zendy; Hark-Mahn Kim | Zendy

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Stability of Functional Inequalities with Cauchy-Jensen Additive Mappings

Author(s) -

Young-Sun Cho,

Hark-Mahn Kim

Publication year - 2007

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2007/89180

Subject(s) - mathematics , cauchy distribution , jensen's inequality , inequality , stability (learning theory) , pure mathematics , perturbation (astronomy) , mathematical analysis , regular polygon , convex analysis , geometry , computer science , physics , convex optimization , quantum mechanics , machine learning

We investigate the generalized Hyers-Ulam stability of the functional inequalities associated with Cauchy-Jensen additive mappings. As a result, we obtain that if a mapping satisfies the functional inequalities with perturbation which satisfies certain conditions, then there exists a Cauchy-Jensen additive mapping near the mapping.

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