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  • Title/Summary/Keyword: Proth identity

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ON A FUNCTIONAL EQUATION ARISING FROM PROTH IDENTITY

  • Chung, Jaeyoung;Sahoo, Prasanna K.
    • Communications of the Korean Mathematical Society
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    • v.31 no.1
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    • pp.131-138
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    • 2016
  • We determine the general solutions f:R2R of the functional equation f(ux-vy, uy+v(x+y)) = f(x, y)f(u, v) for all x, y, u, vR. We also investigate both bounded and unbounded solutions of the functional inequality f(uxvy,uy+v(x+y))f(x,y)f(u,v)ϕ(u,v) for all x, y, u, vR, where \ph:R2R+ is a given function.