The Ulam Type Stability of a Generalized Additive Mapping and Concrete Examples
Joint Authors
Kobayashi, Yuji
Takahasi, Sin-Ei
Tsukada, Makoto
Oda, Hiroyoshi
Miura, Takeshi
Source
International Journal of Mathematics and Mathematical Sciences
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-03-20
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
We give an Ulam type stability result for the following functional equation: f(αx−αx′+x0)=βf(x)−βf(x′)+y0 (for all x,x′∈X) under a suitable condition.
We also give a concrete stability result for the case taking up δ∥x∥p∥x′∥q as a control function.
American Psychological Association (APA)
Oda, Hiroyoshi& Tsukada, Makoto& Miura, Takeshi& Kobayashi, Yuji& Takahasi, Sin-Ei. 2013. The Ulam Type Stability of a Generalized Additive Mapping and Concrete Examples. International Journal of Mathematics and Mathematical Sciences،Vol. 2013, no. 2013, pp.1-7.
https://search.emarefa.net/detail/BIM-1005920
Modern Language Association (MLA)
Oda, Hiroyoshi…[et al.]. The Ulam Type Stability of a Generalized Additive Mapping and Concrete Examples. International Journal of Mathematics and Mathematical Sciences No. 2013 (2013), pp.1-7.
https://search.emarefa.net/detail/BIM-1005920
American Medical Association (AMA)
Oda, Hiroyoshi& Tsukada, Makoto& Miura, Takeshi& Kobayashi, Yuji& Takahasi, Sin-Ei. The Ulam Type Stability of a Generalized Additive Mapping and Concrete Examples. International Journal of Mathematics and Mathematical Sciences. 2013. Vol. 2013, no. 2013, pp.1-7.
https://search.emarefa.net/detail/BIM-1005920
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1005920
