Original scientific paper

The stability of the cubic functional equation in various spaces

Reza Saadati ; Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran
S. Mansour Vaezpour ; Department of Mathematics and Computer Science, Amirkabir University of Technology, Tehran, Iran
Choonkil Park ; Department of Mathematics, Research Institute for Natural Sciences, Hanyang University, Seoul, Republic of Korea

Abstract

We prove the stability of the cubic functional equation
$$ f(2x+y)+f(2x-y)=2f(x+y)+2f(x-y)+12f(x)$$ in the setting of various spaces.

Keywords

Hyers--Ulam--Rassias stability; cubic functional equation; random normed space; intuitionistic random normed spaces

Hrčak ID:

68630

URI

https://hrcak.srce.hr/68630

Publication date:

10.6.2011.

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