Article
Algebraic structure of continuous, unbounded and integrable functions
Author/s | Calderón Moreno, María del Carmen
Gerlach Mena, Pablo José Prado Bassas, José Antonio |
Department | Universidad de Sevilla. Departamento de Análisis Matemático |
Publication Date | 2019-02 |
Deposit Date | 2018-11-05 |
Published in |
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Abstract | In 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 ... In 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. |
Funding agencies | Junta de Andalucía Ministerio de Economía y Competitividad (MINECO). España |
Project ID. | FQM-127
P08-FQM-03543 MTM2015-65242-C2-1-P |
Citation | Calderón 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. |
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