On the Generalized Hyers-Ulam Stability of a Cauchy-Jensen Functional Equation | Zendy

Kil-Woung Jun | Zendy; Yang-Hi Lee | Zendy; Young-Sun Cho | Zendy

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On the Generalized Hyers-Ulam Stability of a Cauchy-Jensen Functional Equation

Author(s) -

Kil-Woung Jun,

Yang-Hi Lee,

Young-Sun Cho

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 - 10.1155/2007/35151

Subject(s) - mathematics , cauchy distribution , functional equation , stability (learning theory) , cauchy's convergence test , initial value problem , hill differential equation , mathematical analysis , differential equation , cauchy boundary condition , exact differential equation , linear differential equation , machine learning , computer science , free boundary problem , boundary value problem

In 2006, W. G. Park and J. H. Bae investigated the Hyers-Ulam stability of a Cauchy-Jensen functional equation. In this paper, we improve their results and obtain better results for a Cauchy-Jensen functional equation. Also, we establish new theorems for the generalized Hyers-Ulam stability of a Cauchy-Jensen functional equation

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