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http://dx.doi.org/10.5831/HMJ.2010.32.4.537

SUPERSTABILITY OF FUNCTIONAL INEQUALITIES ASSOCIATED WITH GENERAL EXPONENTIAL FUNCTIONS  

Lee, Eun-Hwi (Department of Matematics Jeonju University)
Publication Information
Honam Mathematical Journal / v.32, no.4, 2010 , pp. 537-544 More about this Journal
Abstract
We prove the superstability of a functional inequality associated with general exponential functions as follows; ${\mid}f(x+y)-a^{x^2y+xy^2}g(x)f(y){\mid}{\leq}H_p(x,y)$. It is a generalization of the superstability theorem for the exponential functional equation proved by Baker.
Keywords
Exponential functional equation; Stability of functional equation; Superstability;
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