| Revista: | Proyecciones (Antofagasta) |
| Base de datos: | PERIÓDICA |
| Número de sistema: | 000405879 |
| ISSN: | 0716-0917 |
| Autores: | Sahoo, Prasanna K1 |
| Instituciones: | 1University of Louisville, Department of Mathematics, Louisville, Kentucky. Estados Unidos de América |
| Año: | 2017 |
| Periodo: | Mar |
| Volumen: | 36 |
| Número: | 1 |
| Paginación: | 13-27 |
| País: | Chile |
| Idioma: | Inglés |
| Tipo de documento: | Artículo |
| Enfoque: | Analítico |
| Resumen en inglés | Let G be a group and C the field of complex numbers. Suppose σ1, σ2 : G → G are endomorphisms satisfying the condition σi(σi(x)) = x for all x in G and for i = 1, 2. In this paper, we find the central solution f : G → C of the equation f(xy) + f(σ1(y)x) = 2f(x) + f(y) + f(σ2(y)) for all x, y ∈ G which is a variant of the Drygas functional equation with two involutions. Further, we present a generalization the above functional equation and determine its central solutions. As an application, using the solutions of the generalized equation, we determine the solutions f, g, h, k : G×G → C of the functional equation f(pr, qs) + g(sp, rq)=2f(p, q) + h(r, s) + k(s, r) when f satisfies the condition f(pr, qs) = f(rp, sq) for all p, q, r, s ∈ G |
| Disciplinas: | Matemáticas |
| Palabras clave: | Matemáticas puras, Ecuaciones funcionales, Desigualdades, Teoría de grupos |
| Keyword: | Mathematics, Pure mathematics, Functional equations, Inequalities, Group theory |
| Texto completo: | Texto completo (Ver PDF) |
