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ON A mu-MIXED TRIGONOMETRIC FUNCTIONAL EQUATION

Authors
Zeglami, DrissFadli, BrahimPark, ChoonkilRassias, Themistocles M.
Issue Date
Dec-2015
Publisher
Kluwer Academic Publishers
Keywords
Hyers-Ulam stability; Superstability; d'Alembert's equation; mu-Trigonometric functional equation
Citation
Journal of Computational Analysis and Applications, v.19, no.6, pp 1003 - 1011
Pages
9
Indexed
SCIE
SCOPUS
Journal Title
Journal of Computational Analysis and Applications
Volume
19
Number
6
Start Page
1003
End Page
1011
URI
https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/143043
ISSN
1521-1398
1572-9206
Abstract
In this paper, we study the superstability for the mu-mixed trigonometric functional equation: integral(G) f(xty)d mu(t) - integral(G) f(xt sigma(y))d mu(t) = 2f(x)g(y), x,y is an element of G, where G is a locally compact group, f,g : G -> C are continuous functions, mu is a complex bounded measure and a is a continuous involution of G. We also give some applications.
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