Best Simultaneous Monotone Approximants in Orlicz Spaces
Let f = (f1, , fm ), where fj belongs to the Orlicz space [0, 1], and let w = (w1, , wm ) be an m-tuple of m positive weights. If ⊂ [0, 1] is the class of nondecreasing functions, we denote by ,w(f, ) the set of best simultaneous monotone approximants to f, that is, all the elements g ∈ minimizing m...
| Autores: | , |
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| Formato: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2013 |
| País: | Argentina |
| Recursos: | Consejo Nacional de Investigaciones Científicas y Técnicas |
| Repositorio: | CONICET Digital (CONICET) |
| Idioma: | inglés |
| OAI Identifier: | oai:ri.conicet.gov.ar:11336/22111 |
| Acesso em linha: | http://hdl.handle.net/11336/22111 |
| Access Level: | acceso abierto |
| Palavra-chave: | Simultaneous Approximation Monotone Approximation Orlicz Spaces https://purl.org/becyt/ford/1.1 https://purl.org/becyt/ford/1 |
| Resumo: | Let f = (f1, , fm ), where fj belongs to the Orlicz space [0, 1], and let w = (w1, , wm ) be an m-tuple of m positive weights. If ⊂ [0, 1] is the class of nondecreasing functions, we denote by ,w(f, ) the set of best simultaneous monotone approximants to f, that is, all the elements g ∈ minimizing m j=1 1 0 (|fj − g |)wj, where is a convex function, (t) > 0 for t > 0, and (0) = 0. In this work, we show an explicit formula to calculate the maximum and minimum elements in ,w(f, ). In addition, we study the continuity of the best simultaneous monotone approximants. |
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