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STABILITY OF FUNCTIONAL EQUATIONS RELATED TO THE EXPONENTIAL AND BETA FUNCTIONS  

Lee, Young-Whan (Department of Computer Hacking and Information Security, Daejeon University)
Publication Information
The Pure and Applied Mathematics / v.17, no.4, 2010 , pp. 363-372 More about this Journal
Abstract
In this paper we obtain the Hyers-Ulam stability of functional equations $f(x+y)=f(x)+f(y)+In\;{\alpha}^{2xy-1}$ and $f(x+y)=f(x)+f(y)+In\;{\beta(x,y)^{-1}$ which is related to the exponential and beta functions.
Keywords
Cauchy functional equation; exponential functional equation; beta functional equation; stability of functional equation; solution of functional equation;
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