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Hyperstability of Some Functional Equations on Restricted Domain
Joint Authors
Source
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-6, 6 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-07-16
Country of Publication
Egypt
No. of Pages
6
Main Subjects
Abstract EN
The paper concerns functions which approximately satisfy, not necessarily on the whole linear space, a generalization of linear functional equation.
A Hyers-Ulam stability result is proved and next applied to give conditions implying the hyperstability of the equation.
The results may be used as tools in stability studies on restricted domains for various functional equations.
We use the main theorem to obtain a few hyperstability results of Fréchet equation on restricted domain for different control functions.
American Psychological Association (APA)
Bahyrycz, Anna& Olko, Jolanta. 2017. Hyperstability of Some Functional Equations on Restricted Domain. Journal of Function Spaces،Vol. 2017, no. 2017, pp.1-6.
https://search.emarefa.net/detail/BIM-1176340
Modern Language Association (MLA)
Bahyrycz, Anna& Olko, Jolanta. Hyperstability of Some Functional Equations on Restricted Domain. Journal of Function Spaces No. 2017 (2017), pp.1-6.
https://search.emarefa.net/detail/BIM-1176340
American Medical Association (AMA)
Bahyrycz, Anna& Olko, Jolanta. Hyperstability of Some Functional Equations on Restricted Domain. Journal of Function Spaces. 2017. Vol. 2017, no. 2017, pp.1-6.
https://search.emarefa.net/detail/BIM-1176340
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1176340