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Descripción
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| In this paper we study the connections between moduli of asymptotic convexity and smoothness of a Banach space, and the existence of high order differentiable bump functions or equivalent norms on the space. The existence of a high order uniformly differentiable bump function is related to an asymptotically uniformly smooth renorming of power type. On the other hand, the asymptotic uniform convexity of power type is related to the existence of high order rough norms. Finally, we also obtain some applications to the best order smoothness of Nakano sequence spaces. | |
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Internacional
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Si |
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JCR del ISI
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Si |
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Título de la revista
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J CONVEX ANAL |
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ISSN
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Factor de impacto JCR
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0,771 |
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Información de impacto
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Volumen
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14 |
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DOI
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Número de revista
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2 |
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Desde la página
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249 |
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Hasta la página
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269 |
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Mes
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SIN MES |
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Ranking
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