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On the stability of an AQCQ-functional equation in random normed spaces

Title
On the stability of an AQCQ-functional equation in random normed spaces
Author
박춘길
Keywords
random normed space; additive-quadratic-cubic-quartic functional equation; Hyers-Ulam stability
Issue Date
2011-08
Publisher
SPRINGER INTERNATIONAL PUBLISHING AG, GEWERBESTRASSE 11, CHAM, CH-6330, SWITZERLAND
Citation
Journal of Inequalities and Applications, Vol.2011 No.1 [2011], 1-12
Abstract
In this paper, we prove the Hyers-Ulam stability of the following additive-quadratic-cubic-quartic functional equation f(x+2y)+f(x-2y)=4f(x+y)+4f(x-y)-6f(x)+f(2y)+f(-2y)-4f(y)-4f(-y) in random normed spaces.
URI
https://journalofinequalitiesandapplications.springeropen.com/articles/10.1186/1029-242X-2011-34
ISSN
1025-5834; 1029-242X
DOI
10.1186/1029-242X-2011-34
Appears in Collections:
COLLEGE OF NATURAL SCIENCES[S](자연과학대학) > MATHEMATICS(수학과) > Articles
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