2018-11-052018-11-052019-02Calderón Moreno, M.d.C., Gerlach Mena, P.J. y Prado Bassas, J.A. (2019). Algebraic structure of continuous, unbounded and integrable functions. Journal of Mathematical Analysis and Applications, 470 (1), 348-359.0022-247xhttps://hdl.handle.net/11441/79759In this paper we study the large linear and algebraic size of the family of unbounded continuous and integrable functions in [0, +∞) and of the family of sequences of these functions converging to zero uniformly on compacta and in L1-norm. In addition, we concentrate on the speed at which these functions grow, their smoothness and the strength of their convergence to zero.application/pdfengAtribución-NoComercial-CompartirIgual 4.0 Internacionalhttp://creativecommons.org/licenses/by-nc-sa/4.0/Continuous unbounded functionsIntegrable functionsLineabilityAlgebrabilityinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/openAccesshttps://doi.org/10.1016/j.jmaa.2018.10.007