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Stability of an additive-quartic functional equation in modular spaces

Authors
Karthikeyan, SPark, ChoonkilPalani, PKumar, TRK
Issue Date
Sep-2021
Publisher
JOURNAL MATHEMATICS & COMPUTER SCIENCE-JMCS
Keywords
Additive functional equation; Modular space; Quartic functional equation; Ulam-hyers stability
Citation
JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE-JMCS, v.26, no.1, pp 22 - 40
Pages
19
Indexed
SCOPUS
ESCI
Journal Title
JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE-JMCS
Volume
26
Number
1
Start Page
22
End Page
40
URI
https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/140958
DOI
10.22436/JMCS.026.01.04
ISSN
2008-949X
Abstract
In this paper, we prove the Ulam-Hyers stability of the following additive-quartic functional equation f(u+v/2-w)+f(v+w/2-u)+f(w+u/2-v)=25/32(f(u-v)+f(v-w)+f(w-u))-7/32(f(v-u)+f(w-v)+f(u-w)) in modular spaces by using the direct method.
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