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http://dx.doi.org/10.14403/jcms.2011.24.4.8

STABILITY OF A CUBIC FUNCTIONAL EQUATION IN p-BANACH SPACES  

Lee, Sang-Baek (Department of Mathematics Chungnam National University)
Park, Won-Gil (Department of Mathematics Education Mokwon University)
Publication Information
Journal of the Chungcheong Mathematical Society / v.24, no.4, 2011 , pp. 703-712 More about this Journal
Abstract
In this paper, we investigate the stability of a cubic functional equation $$f(x+ny)+f(x-ny)+f(nx)=n^2f(x+y)+n^2f(x-y)+(n^3-2n^2+2)f(x)$$ in p-Banach spaces and in Banach modules, where $n{\geq}2$ is an integer.
Keywords
Hyers-Ulam stability; cubic functional equation;
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