Stability of a Functional Equation Deriving from Quadratic and Additive Functions in Non-Archimedean Normed Spaces
Joint Authors
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-10-22
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
We obtain the general solution of the generalized mixed additive and quadratic functional equation fx+my+fx−my=2fx−2m2fy+m2f2y, m is even; fx+y+fx−y−2m2−1fy+m2−1f2y, m is odd, for a positive integer m.
We establish the Hyers-Ulam stability for these functional equations in non-Archimedean normed spaces when m is an even positive integer or m=3.
American Psychological Association (APA)
Bodaghi, Abasalt& Kim, Sang Og. 2013. Stability of a Functional Equation Deriving from Quadratic and Additive Functions in Non-Archimedean Normed Spaces. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-10.
https://search.emarefa.net/detail/BIM-453843
Modern Language Association (MLA)
Bodaghi, Abasalt& Kim, Sang Og. Stability of a Functional Equation Deriving from Quadratic and Additive Functions in Non-Archimedean Normed Spaces. Abstract and Applied Analysis No. 2013 (2013), pp.1-10.
https://search.emarefa.net/detail/BIM-453843
American Medical Association (AMA)
Bodaghi, Abasalt& Kim, Sang Og. Stability of a Functional Equation Deriving from Quadratic and Additive Functions in Non-Archimedean Normed Spaces. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-10.
https://search.emarefa.net/detail/BIM-453843
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-453843
