STABILITY OF AN EXPONENTIAL-MONOMIAL FUNCTIONAL EQUATION

被引：1

作者：

Choi, Chang-Kwon ^{[1
,2
]}

机构：

[1] Kunsan Natl Univ, Dept Math, Gunsan 54150, South Korea

[2] Kunsan Natl Univ, Liberal Educ Inst, Gunsan 54150, South Korea

来源：

BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 2018年 / 97卷 / 03期

关键词：

exponential functional equation; exponential-monomial functional equation; stability;

D O I：

10.1017/S0004972718000011

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let N be a fixed positive integer and f : R -> C. As a generalisation of the superstability of the exponential functional equation we consider the functional inequalities vertical bar f((N)root x(N) + y(N)) - f(x) f(y)vertical bar <= phi(x), vertical bar f((N)root x(N) + y(N)) - f(x) f(y)vertical bar <= psi(x, y) for all x, y epsilon R, where phi : R -> R+ is an arbitrary function and psi : R-2 -> R+ satisfies a certain condition.

引用

页码：471 / 479

页数：9

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