dc.creator | Govindan, Vediyappan | |
dc.creator | Park, Choonkil | |
dc.creator | Pinelas, Sandra | |
dc.creator | Rassias, Themistocles M. | |
dc.date | 2020-08-22 | |
dc.date.accessioned | 2021-08-17T20:35:25Z | |
dc.date.available | 2021-08-17T20:35:25Z | |
dc.identifier | http://revistas.ufro.cl/ojs/index.php/cubo/article/view/2365 | |
dc.identifier | 10.4067/S0719-06462020000200233 | |
dc.identifier.uri | https://revistaschilenas.uchile.cl/handle/2250/174231 | |
dc.description | In this paper, we introduce the following \((a,b,c)\)-mixed type functional equation of the form
\(g(ax_1+bx_2+cx_3 )-g(-ax_1+bx_2+cx_3 ) + g(ax_1-bx_2+cx_3 )\)\(-g(ax_1+bx_2-cx_3 ) + 2a^2 [g(x_1 ) + g(-x_1)] + 2b^2 [g(x_2 ) + g(-x_2)] + \)\(2c^2 [g(x_3 ) + g(-x_3)]+a[g(x_1 ) - g(-x_1)]+ b[g(x_2 )-g(-x_2)] + \) \(c[g(x_3 )-g(-x_3)]=4g(ax_1+cx_3 )+2g(-bx_2)+\) \(2g(bx_2)\)
where \(a,b,c\) are positive integers with \(a>1\), and investigate the solution and the Hyers-Ulam stability of the above functional equation in Banach spaces by using two different methods. | en-US |
dc.format | application/pdf | |
dc.language | eng | |
dc.publisher | Universidad de La Frontera. Temuco, Chile. | en-US |
dc.relation | http://revistas.ufro.cl/ojs/index.php/cubo/article/view/2365/1996 | |
dc.rights | https://creativecommons.org/licenses/by-nc/4.0/ | en-US |
dc.source | CUBO, A Mathematical Journal; Vol. 22 No. 2 (2020); 233–255 | en-US |
dc.source | CUBO, A Mathematical Journal; Vol. 22 Núm. 2 (2020); 233–255 | es-ES |
dc.source | 0719-0646 | |
dc.source | 0716-7776 | |
dc.subject | Hyers-Ulam stability | en-US |
dc.subject | mixed type functional equation | en-US |
dc.subject | Banach space | en-US |
dc.subject | fixed point | en-US |
dc.title | Hyers-Ulam stability of an additive-quadratic functional equation | en-US |
dc.type | info:eu-repo/semantics/article | |
dc.type | info:eu-repo/semantics/publishedVersion | |