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Ulam-Hyers Stability of Trigonometric Functional Equation with Involution
Joint Authors
Choi, Chang-Kwon
Kim, Jongjin
Chung, Jae-Young
Source
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-10-01
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
Let S and G be a commutative semigroup and a commutative group, respectively, C and R+ the sets of complex numbers and nonnegative real numbers, respectively, and σ:S→S or σ:G→G an involution.
In this paper, we first investigate general solutions of the functional equation f(x+σy)=f(x)g(y)-g(x)f(y) for all x,y∈S, where f,g:S→C.
We then prove the Hyers-Ulam stability of the functional equation; that is, we study the functional inequality |f(x+σy)-f(x)g(y)+g(x)f(y)|≤ψ(y) for all x,y∈G, where f,g:G→C and ψ:G→R+.
American Psychological Association (APA)
Chung, Jae-Young& Choi, Chang-Kwon& Kim, Jongjin. 2015. Ulam-Hyers Stability of Trigonometric Functional Equation with Involution. Journal of Function Spaces،Vol. 2015, no. 2015, pp.1-7.
https://search.emarefa.net/detail/BIM-1068315
Modern Language Association (MLA)
Chung, Jae-Young…[et al.]. Ulam-Hyers Stability of Trigonometric Functional Equation with Involution. Journal of Function Spaces No. 2015 (2015), pp.1-7.
https://search.emarefa.net/detail/BIM-1068315
American Medical Association (AMA)
Chung, Jae-Young& Choi, Chang-Kwon& Kim, Jongjin. Ulam-Hyers Stability of Trigonometric Functional Equation with Involution. Journal of Function Spaces. 2015. Vol. 2015, no. 2015, pp.1-7.
https://search.emarefa.net/detail/BIM-1068315
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1068315