On the stability of the quadratic mapping in normed spaces
The Hyers-Ulam stability, the Hyers-Ulam-Rassias stability, and also the stability in the spirit of Gavruţa for each of the following quadratic functional equations f(x+y)+f(x−y)=2f(x)+2f(y), f(x+y+z)+f(x−y)+f(y−z)+f(z−x)=3f(x)+3f(y)+3f(z), f(x+y+z)+f(x)+f(y)+f(z)=f(x+y)+f(y+z)+f(z+x) are investigat...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2001-01-01
|
| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171201004707 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1849683884344606720 |
|---|---|
| author | Gwang Hui Kim |
| author_facet | Gwang Hui Kim |
| author_sort | Gwang Hui Kim |
| collection | DOAJ |
| description | The Hyers-Ulam stability, the Hyers-Ulam-Rassias stability, and
also the stability in the spirit of Gavruţa for each of
the following quadratic functional equations f(x+y)+f(x−y)=2f(x)+2f(y), f(x+y+z)+f(x−y)+f(y−z)+f(z−x)=3f(x)+3f(y)+3f(z), f(x+y+z)+f(x)+f(y)+f(z)=f(x+y)+f(y+z)+f(z+x) are investigated. |
| format | Article |
| id | doaj-art-d64df575033f4699bfcf8e4e191d6c7f |
| institution | DOAJ |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2001-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-d64df575033f4699bfcf8e4e191d6c7f2025-08-20T03:23:38ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252001-01-0125421722910.1155/S0161171201004707On the stability of the quadratic mapping in normed spacesGwang Hui Kim0Department of Mathematics, Kangnam University, Suwon 449-702, South KoreaThe Hyers-Ulam stability, the Hyers-Ulam-Rassias stability, and also the stability in the spirit of Gavruţa for each of the following quadratic functional equations f(x+y)+f(x−y)=2f(x)+2f(y), f(x+y+z)+f(x−y)+f(y−z)+f(z−x)=3f(x)+3f(y)+3f(z), f(x+y+z)+f(x)+f(y)+f(z)=f(x+y)+f(y+z)+f(z+x) are investigated.http://dx.doi.org/10.1155/S0161171201004707 |
| spellingShingle | Gwang Hui Kim On the stability of the quadratic mapping in normed spaces International Journal of Mathematics and Mathematical Sciences |
| title | On the stability of the quadratic mapping in normed spaces |
| title_full | On the stability of the quadratic mapping in normed spaces |
| title_fullStr | On the stability of the quadratic mapping in normed spaces |
| title_full_unstemmed | On the stability of the quadratic mapping in normed spaces |
| title_short | On the stability of the quadratic mapping in normed spaces |
| title_sort | on the stability of the quadratic mapping in normed spaces |
| url | http://dx.doi.org/10.1155/S0161171201004707 |
| work_keys_str_mv | AT gwanghuikim onthestabilityofthequadraticmappinginnormedspaces |