On the generalized Hyers-Ulam-Rassias stability of an n-dimensional quadratic functional equation

Authors
Bae, JH Jun, KW
Citation
Jh. Bae et Kw. Jun, On the generalized Hyers-Ulam-Rassias stability of an n-dimensional quadratic functional equation, J MATH ANAL, 258(1), 2001, pp. 183-193
Citations number
23
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
ISSN journal
0022247X → ACNP
Volume
258
Issue
1
Year of publication
2001
Pages
183 - 193
Database
ISI
SICI code
0022-247X(20010601)258:1<183:OTGHSO>2.0.ZU;2-0
Abstract
m this paper we investigate the generalized Hyers-Ulam-Rassias stability of an n-dimensional quadratic functional equation, f(Sigma (n)(i=1) xi) + Sigma (1 less than or equal toi <j less than or equa l ton) f(x(i) - x(j)) = n Sigma (n)(i=1) f(x(i)) (n greater than or equal t o 2). (C) 2000 Academic Press.