Bernal González, LuisCalderón Moreno, María del CarmenLuh, Wolfgang2019-06-212019-06-212004-03Bernal 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), 285-297.1617-94472195-3724https://hdl.handle.net/11441/87535In 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.application/pdfengAttribution-NonCommercial-NoDerivatives 4.0 Internacionalhttp://creativecommons.org/licenses/by-nc-nd/4.0/Riesz methodUniversal functionGeometric seriesTrigonometric seriesP-regularityUniversal transforms of the geometric series under generalized Riesz methodsinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/openAccesshttps://doi.org/10.1007/BF03321038