SUPERSTABILITY OF FUNCTIONAL INEQUALITIES ASSOCIATED WITH GENERAL EXPONENTIAL FUNCTIONS

Lee, Eun-Hwi

• Received : 2009.09.01
• Published : 2010.12.25
• 30 6

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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