Artículo
Funciones con derivadas sucesivas grandes y pequeñas por doquier
Título alternativo | Functions with big and small successive derivatives everywhere |
Autor/es | Bernal González, Luis |
Departamento | Universidad de Sevilla. Departamento de Análisis Matemático |
Fecha de publicación | 1987 |
Fecha de depósito | 2016-11-17 |
Publicado en |
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Resumen | In this paper we show that, given two double sequences of positive real numbers, α and β, the subset of all functions defined on an open real set which have big derivatives and small ones with respect to α and β, at every ... In this paper we show that, given two double sequences of positive real numbers, α and β, the subset of all functions defined on an open real set which have big derivatives and small ones with respect to α and β, at every point, is residual in C∞. As a corollary, we derive that Baire-almost every function of C∞ has null radius of convergence at each point. |
Cita | Bernal González, L. (1987). Funciones con derivadas sucesivas grandes y pequeñas por doquier. Collectanea Mathematica, 38 (2), 117-122. |
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