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http://dx.doi.org/10.5666/KMJ.2015.55.1.73

Refined Stability Results of Functional Equation in Four Variables  

Kim, Hark-Mahn (Department of Mathematics, Chungnam National University)
Lee, Soon (Department of Mathematics, Chungnam National University)
Publication Information
Kyungpook Mathematical Journal / v.55, no.1, 2015 , pp. 73-81 More about this Journal
Abstract
In this paper, we present the general solution of the functional equation $$rf(\frac{x+y+z+w}{s})+rf(\frac{x+y-z-w}{s})+rf(\frac{x-y+z-w}{s})+rf(\frac{x-y-z+w}{s})=tf(x)+tf(y)+tf(z)+tf(w)$$ and improve the Hyers-Ulam stability of the equation.
Keywords
quadratic functional equation; Hyers-Ulam stability;
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Times Cited By KSCI : 3  (Citation Analysis)
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