Artículo
Universal transforms of the geometric series under generalized Riesz methods
Autor/es | Bernal González, Luis
Calderón Moreno, María del Carmen Luh, Wolfgang |
Departamento | Universidad de Sevilla. Departamento de Análisis Matemático |
Fecha de publicación | 2004-03 |
Fecha de depósito | 2019-06-21 |
Publicado en |
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Resumen | In this paper generalized Riesz methods (R, p, M) of summability are considered. We prove that, to each open set O ⊂ C with adequate
topological properties and each sequence {Pn} ⊂ C tending to infinity, we can associate ... In this paper generalized Riesz methods (R, p, M) of summability are considered. We prove that, to each open set O ⊂ C with adequate topological properties and each sequence {Pn} ⊂ C tending to infinity, we can associate a corresponding P-regular (R, p, M)-method so that the geometric series and a certain trigonometric series become universal in the sense that its (R, p, M)-transforms approximate any member of certain spaces of holomorphic functions or measurable functions. |
Cita | Bernal González, L., Calderón Moreno, M.d.C. y Luh, W. (2004). Universal transforms of the geometric series under generalized Riesz methods. Computational Methods and Function Theory, 3 (1), 285-297. |
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