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On the Stability of Quadratic Functional Equations
Joint Authors
Lee, Jung Rye
Park, Choonkil
An, Jong Su
Source
Issue
Vol. 2008, Issue 2008 (31 Dec. 2008), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2008-01-15
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
Let X,Y be vector spaces and k a fixed positive integer.
It is shown that a mapping f(kx+y)+f(kx-y)=2k2f(x)+2f(y) for all x,y∈X if and only if the mapping f:X→Y satisfies f(x+y)+f(x-y)=2f(x)+2f(y) for all x,y∈X.
Furthermore, the Hyers-Ulam-Rassias stability of the above functional equation in Banach spaces is proven.
American Psychological Association (APA)
Lee, Jung Rye& An, Jong Su& Park, Choonkil. 2008. On the Stability of Quadratic Functional Equations. Abstract and Applied Analysis،Vol. 2008, no. 2008, pp.1-8.
https://search.emarefa.net/detail/BIM-987678
Modern Language Association (MLA)
Lee, Jung Rye…[et al.]. On the Stability of Quadratic Functional Equations. Abstract and Applied Analysis No. 2008 (2008), pp.1-8.
https://search.emarefa.net/detail/BIM-987678
American Medical Association (AMA)
Lee, Jung Rye& An, Jong Su& Park, Choonkil. On the Stability of Quadratic Functional Equations. Abstract and Applied Analysis. 2008. Vol. 2008, no. 2008, pp.1-8.
https://search.emarefa.net/detail/BIM-987678
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-987678