A GENERALIZATION OF THE HYERS-ULAM-RASSIAS STABILITY OF A FUNCTIONAL EQUATION OF DAVISON | Zendy

Kil-Woung Jun | Zendy; ‎Soon-Mo Jung | Zendy; Yang-Hi Lee | Zendy

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A GENERALIZATION OF THE HYERS-ULAM-RASSIAS STABILITY OF A FUNCTIONAL EQUATION OF DAVISON

Author(s) -

Kil-Woung Jun,

‎Soon-Mo Jung,

Yang-Hi Lee

Publication year - 2004

Publication title -

journal of the korean mathematical society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.403

H-Index - 31

eISSN - 2234-3008

pISSN - 0304-9914

DOI - 10.4134/jkms.2004.41.3.501

Subject(s) - mathematics , functional equation , generalization , banach space , pure mathematics , stability (learning theory) , space (punctuation) , type (biology) , ring (chemistry) , class (philosophy) , mathematical analysis , differential equation , ecology , linguistics , philosophy , machine learning , artificial intelligence , computer science , biology , chemistry , organic chemistry

We prove the Hyers-Ulam-Rassias stability of the Dav- ison functional equation f(xy) + f(x + y) = f(xy + x) + f(y) for a class of functions from a ring into a Banach space and we also investigate the Davison equation of Pexider type.

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