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http://dx.doi.org/10.5831/HMJ.2012.34.1.45

STABILITY OF MULTIPLICATIVE INVERSE FUNCTIONAL EQUATIONS IN THREE VARIABLES  

Lee, Eun-Hwi (Department of Mathematics, Jeonju University)
Publication Information
Honam Mathematical Journal / v.34, no.1, 2012 , pp. 45-54 More about this Journal
Abstract
In this paper, we prove stabilities of multiplicative functional equations in three variables such as $r(\frac{x+y+z}{3})-r(x+y+z)$=$\frac{2r(\frac{x+y}{2})r(\frac{y+z}{2})r(\frac{z+x}{2})}{r(\frac{x+y}{2})r(\frac{y+z}{2})+r(\frac{y+z}{2})r(\frac{z+x}{2})+r(\frac{z+x}{2})r(\frac{x+y}{2})}$ and $r(\frac{x+y+z}{3})+r(x+y+z)$=$\frac{4r(\frac{x+y}{2})r(\frac{y+z}{2})r(\frac{z+x}{2})}{r(\frac{x+y}{2})r(\frac{y+z}{2})+r(\frac{y+z}{2})r(\frac{z+x}{2})+r(\frac{z+x}{2})r(\frac{x+y}{2})}$.
Keywords
Functional Equation; Stability;
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Times Cited By KSCI : 1  (Citation Analysis)
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