Generalized Stability of Euler‐Lagrange Quadratic Functional Equation | Zendy

Hark-Mahn Kim | Zendy; Minyoung Kim | Zendy

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Generalized Stability of Euler‐Lagrange Quadratic Functional Equation

Author(s) -

Hark-Mahn Kim,

Minyoung Kim

Publication year - 2012

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 - 10.1155/2012/219435

Subject(s) - mathematics , banach space , quadratic equation , stability (learning theory) , stability theorem , type (biology) , pure mathematics , functional equation , mathematical analysis , space (punctuation) , differential equation , geometry , computer science , ecology , linguistics , philosophy , machine learning , cauchy distribution , biology

The main goal of this paper is the investigation of the general solution and the generalized Hyers-Ulam stability theorem of the following Euler-Lagrange type quadratic functional equation f(ax+by)+af(x-by)=(a+1)b2f(y)+a(a+1)f(x), in (β,p)-Banach space, where a,b are fixed rational numbers such that a≠-1,0 and b≠0

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