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Título:
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Global Approximation of Convex Functions by Differentiable Convex Functions on Banach Spaces.
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Autores:
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Azagra Rueda, Daniel ;
Mudarra, C.
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Tipo de documento:
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texto impreso
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Editorial:
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Heldermann Verlag, 2015
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Dimensiones:
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application/pdf
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Nota general:
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info:eu-repo/semantics/openAccess
info:eu-repo/semantics/restrictedAccess
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Idiomas:
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Palabras clave:
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Estado = Publicado
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Materia = Ciencias: Matemáticas: Análisis funcional y teoría de operadores
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Tipo = Artículo
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Resumen:
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We show that if X is a Banach space whose dual X* has an equivalent locally uniformly rotund (LUR) norm, then for every open convex U subset of X, for every real number epsilon > 0, and for every continuous and convex function f : U -> R (not necessarily bounded on bounded sets) there exists a convex function g : U -> R of class C-1 (U) such that f - epsilon
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En línea:
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https://eprints.ucm.es/36175/1/Azagra34libre.pdf
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