Szczegóły publikacji
Opis bibliograficzny
Hyperstability of some functional equation on restricted domain: direct and fixed point methods / A. BAHYRYCZ // Bulletin of the Iranian Mathematical Society ; ISSN 1735-8515. — 2016 — vol. 42 no. 4, s. 959–974. — Bibliogr. s. 973–974, Abstr. — Publikacja dostępna online od: 2016-08-20
Autor
Słowa kluczowe
Dane bibliometryczne
| ID BaDAP | 102100 |
|---|---|
| Data dodania do BaDAP | 2016-12-08 |
| Tekst źródłowy | URL |
| Rok publikacji | 2016 |
| Typ publikacji | artykuł w czasopiśmie |
| Otwarty dostęp |  |
| Czasopismo/seria | Bulletin of the Iranian Mathematical Society |
Abstract
The study of stability problems of functional equations was motivated by a question of S. M. Ulam asked in 1940. The first result giving answer to this question is due to D.H. Hyers. Subsequently, his result was extended and generalized in several ways. In this paper we prove some hyperstability results for the equation g(ax + by) + g(cx + dy) = Ag(x) + Bg(y) on restricted domain. Namely, we show, under some weak natural assumptions, functions satisfying the above equation approximately (in some sense) must be actually solutions to it.
