dc.creator | Elqorachi, Elhoucien | |
dc.creator | Redouani, Ahmed | |
dc.date | 2018-06-06 | |
dc.date.accessioned | 2019-06-28T17:06:29Z | |
dc.date.available | 2019-06-28T17:06:29Z | |
dc.identifier | http://www.revistaproyecciones.cl/article/view/2927 | |
dc.identifier.uri | https://revistaschilenas.uchile.cl/handle/2250/101119 | |
dc.description | In this paper we will investigate the complex-valued solutions and stability of the generalized variant of Wilson’s functional equation
(E) : f(xy) + χ(y)f(σ(y)x) = 2f(x)g(y), x, y ∈ G,
where G is a group, σ is an involutive morphism of G and χ is a character of G. (a) We solve (E) when σ is an involutive automorphism, and we obtain some properties about solutions of (E) when σ is an involutive anti-automorphism. (b) We obtain the Hyers Ulam stability of equation (E). As an application, we prove the superstability of the functional equation f(xy) + χ(y)f(σ(y)x) = 2f(x)f(y), x, y ∈ G. | en-US |
dc.format | application/pdf | |
dc.language | eng | |
dc.publisher | Universidad Católica del Norte. | es-ES |
dc.relation | http://www.revistaproyecciones.cl/article/view/2927/2764 | |
dc.rights | Derechos de autor 2018 Proyecciones. Journal of Mathematics | es-ES |
dc.rights | https://creativecommons.org/licenses/by-nc/4.0/ | es-ES |
dc.source | Proyecciones. Journal of Mathematics; Vol 37 No 2 (2018); 317-344 | en-US |
dc.source | Proyecciones. Revista de Matemática; Vol. 37 Núm. 2 (2018); 317-344 | es-ES |
dc.source | 0717-6279 | |
dc.source | 0716-0917 | |
dc.title | Solutions and stability of a variant of Wilson’s functional equation. | en-US |
dc.type | info:eu-repo/semantics/article | |
dc.type | info:eu-repo/semantics/publishedVersion | |
dc.type | Artículo revisado por pares | es-ES |