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The Australian Journal of Mathematical Analysis and Applications ISSN 1449-5910 |
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Paper Title:
Stability of a Mixed Additive, Quadratic and Cubic Functional Equation In Quasi-Banach Spaces
Author(s):
A. Najati and F. Moradlou
Department of Mathematics, Faculty of Sciences,
University of Mohaghegh Ardabili, Ardabil,
Iran
a.nejati@yahoo.com
Faculty of Mathematical Sciences,
University of Tabriz, Tabriz,
Iran
moradlou@tabrizu.ac.ir
Abstract:
In this paper we establish the general solution of a mixed additive,
quadratic and cubic functional equation and investigate the
Hyers--Ulam--Rassias stability of this equation in quasi-Banach
spaces. The concept of Hyers-Ulam-Rassias stability originated from
Th. M. Rassias' stability theorem that appeared in his paper: On the
stability of the linear mapping in Banach spaces, Proc. Amer. Math.
Soc. 72 (1978), 297--300.
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