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Stability of functional equations in Šerstnev probabilistic normed spaces

Authors
Park, CArasu, VAngayarkanni, M
Issue Date
Jan-2019
Publisher
Kluwer Academic Publishers
Keywords
Hyers-Ulam stability; additive functional equation; probabilistic normed space
Citation
Journal of Computational Analysis and Applications, v.26, no.1, pp 42 - 49
Pages
8
Indexed
SCOPUS
Journal Title
Journal of Computational Analysis and Applications
Volume
26
Number
1
Start Page
42
End Page
49
URI
https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/148473
ISSN
1521-1398
1572-9206
Abstract
In this paper, we investigate the uniform version and non-uniform version of the Hyers- Ulam stability of the additive functional equation f(3x+y)+f(x+3y) = 4f(x)+4f(y) in Šerstnev probabilistic normed spaces with a triangle function.
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