On the stability of orthogonally cubic functional
سال
: 2007
چکیده: Abstract. Let f denote a mapping from an orthogonality space (X;?) into a real Ba-
nach space Y. In this paper, we prove the Hyers–Ulam stability of the orthogonally cubic
functional equations f(2x+y)+f(2x¡y) = 2f(x+y)+2f(x¡y)+12f(x) and f(x+y+
2z)+f(x+y¡2z)+f(2x)+f(2y) = 2f(x+y)+4f(x+z)+4f(x¡z)+4f(y+z)+4f(y¡z),
where x ? y; y ? z; x ? z.
nach space Y. In this paper, we prove the Hyers–Ulam stability of the orthogonally cubic
functional equations f(2x+y)+f(2x¡y) = 2f(x+y)+2f(x¡y)+12f(x) and f(x+y+
2z)+f(x+y¡2z)+f(2x)+f(2y) = 2f(x+y)+4f(x+z)+4f(x¡z)+4f(y+z)+4f(y¡z),
where x ? y; y ? z; x ? z.
کلیدواژه(گان): On the stability of orthogonally cubic functional
کالکشن
:
-
آمار بازدید
On the stability of orthogonally cubic functional
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| contributor author | Choonkil Baak | en |
| contributor author | محمد صال مصلحیان | en |
| contributor author | Mohammad Sal Moslehian | fa |
| date accessioned | 2020-06-06T14:12:23Z | |
| date available | 2020-06-06T14:12:23Z | |
| date issued | 2007 | |
| identifier uri | http://libsearch.um.ac.ir:80/fum/handle/fum/3386877 | |
| description abstract | Abstract. Let f denote a mapping from an orthogonality space (X;?) into a real Ba- nach space Y. In this paper, we prove the Hyers–Ulam stability of the orthogonally cubic functional equations f(2x+y)+f(2x¡y) = 2f(x+y)+2f(x¡y)+12f(x) and f(x+y+ 2z)+f(x+y¡2z)+f(2x)+f(2y) = 2f(x+y)+4f(x+z)+4f(x¡z)+4f(y+z)+4f(y¡z), where x ? y; y ? z; x ? z. | en |
| language | English | |
| title | On the stability of orthogonally cubic functional | en |
| type | Journal Paper | |
| contenttype | External Fulltext | |
| subject keywords | On the stability of orthogonally cubic functional | en |
| journal title | Kyungpook Mathematical Journal | fa |
| pages | 69-76 | |
| journal volume | 0 | |
| journal issue | 47 | |
| identifier link | https://profdoc.um.ac.ir/paper-abstract-102973.html | |
| identifier articleid | 102973 |