SUPERSTABILITY OF FUNCTIONAL INEQUALITIES ASSOCIATED WITH GENERAL EXPONENTIAL FUNCTIONS

• Journal title : Honam Mathematical Journal
• Volume 32, Issue 4,  2010, pp.537-544
• Publisher : The Honam Mathematical Society
• DOI : 10.5831/HMJ.2010.32.4.537
Title & Authors
SUPERSTABILITY OF FUNCTIONAL INEQUALITIES ASSOCIATED WITH GENERAL EXPONENTIAL FUNCTIONS
Lee, Eun-Hwi;

Abstract
We prove the superstability of a functional inequality associated with general exponential functions as follows; $\small{{\mid}f(x+y)-a^{x^2y+xy^2}g(x)f(y){\mid}{\leq}H_p(x,y)}$. 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;
Language
English
Cited by
1.
Hyperstability and Superstability, Abstract and Applied Analysis, 2013, 2013, 1
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