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ON THE STABILITY OF AN n-DIMENSIONAL FUNCTIONAL EQUATION ORIGINATING FROM QUADRATIC FORMSopen access

Authors
Najati, AbbasPark, Choonkil
Issue Date
Oct-2008
Publisher
MATHEMATICAL SOC REP CHINA
Keywords
Hyers-Ulam-Rassias stability; Quadratic function; 2-Variable quadratic functional equation
Citation
TAIWANESE JOURNAL OF MATHEMATICS, v.12, no.7, pp.1609 - 1624
Indexed
SCIE
SCOPUS
Journal Title
TAIWANESE JOURNAL OF MATHEMATICS
Volume
12
Number
7
Start Page
1609
End Page
1624
URI
https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/177825
DOI
10.11650/twjm/1500405074
ISSN
1027-5487
Abstract
In this paper, we investigate the generalized Hyers-Ulam-Rassias stability of an n-dimensional functional equation f(Sigma(n)(i=1) x(i), Sigma(n)(i=0) y(i)) + Sigma(1 <= i<j <= n) f(x(i) - x(j), y(i) - y(j)) = n Sigma(n)(i=1) f(x(i), y(i)), (n >= 2).
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