Title : On the stability of orthogonally cubic functional ( On the stability of orthogonally cubic functional )
Authors: Choonkil Baak , Mohammad Sal Moslehian ,
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Abstract
Abstract. Let f denote a mapping from an orthogonality space (X;?) into a real Ba- nach space Y. In this paper, we prove the Hyers–Ulam stability of the orthogonally cubic functional equations f(2x+y)+f(2x¡y) = 2f(x+y)+2f(x¡y)+12f(x) and f(x+y+ 2z)+f(x+y¡2z)+f(2x)+f(2y) = 2f(x+y)+4f(x+z)+4f(x¡z)+4f(y+z)+4f(y¡z), where x ? y; y ? z; x ? z.
Keywords
On the stability of orthogonally cubic functional
@article{paperid:102973,
author = {Choonkil Baak and Sal Moslehian, Mohammad},
title = {On the stability of orthogonally cubic functional},
journal = {Kyungpook Mathematical Journal},
year = {2007},
number = {47},
month = {February},
issn = {1225-6951},
pages = {69--76},
numpages = {7},
keywords = {On the stability of orthogonally cubic functional},
}
%0 Journal Article
%T On the stability of orthogonally cubic functional
%A Choonkil Baak
%A Sal Moslehian, Mohammad
%J Kyungpook Mathematical Journal
%@ 1225-6951
%D 2007
