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A general theorem on the stability of a class of functional equations including monomial equations

Authors
Lee, Yang-HiJung, Soon-Mo
Issue Date
Sep-2015
Publisher
SPRINGER INTERNATIONAL PUBLISHING AG
Keywords
generalized Hyers-Ulam stability; n-dimensional functional equation; monomial functional equation; direct method
Citation
JOURNAL OF INEQUALITIES AND APPLICATIONS, pp.1 - 12
Journal Title
JOURNAL OF INEQUALITIES AND APPLICATIONS
Start Page
1
End Page
12
URI
https://scholarworks.bwise.kr/hongik/handle/2020.sw.hongik/9480
DOI
10.1186/s13660-015-0795-0
ISSN
1029-242X
Abstract
In this paper, we prove a general theorem for the stability of a large class of n-dimensional functional equations of the form Df (x(1), x(2),...,x(n)) = 0 by applying the direct method.
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