{"id":103045,"date":"2018-03-11T10:25:25","date_gmt":"2018-03-11T10:25:25","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/aproximacion-no-lineal-con-bases-de-ondiculas\/"},"modified":"2018-03-11T10:25:25","modified_gmt":"2018-03-11T10:25:25","slug":"aproximacion-no-lineal-con-bases-de-ondiculas","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/aproximacion-no-lineal-con-bases-de-ondiculas\/","title":{"rendered":"Aproximacion no lineal con bases de ondiculas"},"content":{"rendered":"<h2>Tesis doctoral de <strong> Mar\u00eda De Natividade <\/strong><\/h2>\n<p>Introducci\u00f3n 1.1. Historia y motivaci\u00f3n la aproximaci\u00f3n de una funci\u00f3n por una combinaci\u00f3n lineal de vectores, elegidos de entre una colecci\u00f3n pre jada, es una forma de aproximaci\u00f3n con un rango de aplicaciones muy grande, desde el an\u00e1lisis al procesamiento de se\u00f1ales, estimaci\u00f3n estad\u00edstica y soluci\u00f3n num\u00e9rica de ecuaciones diferenciales. es de destacar que la evoluci\u00f3n de la teor\u00eda de aproximaci\u00f3n y del c\u00e1lculo num\u00e9rico   siguieron m\u00e1s o menos la misma l\u00ednea. Los primeros m\u00e9todos utilizaron para la aproximaci\u00f3n sub espacios vectoriales de dimensi\u00f3n \u00c2\u00afnita. En un principio, estos fueron, por regla general, los sub espacios de polinomios de grado n, tanto algebraicos como trigonom\u00e9tricos. uno de los objetivos centrales de la teor\u00eda de aproximaci\u00f3n es caracterizar el con- junto de funciones que tienen un orden de aproximaci\u00f3n establecido por un  determinado m\u00e9todo de aproximaci\u00f3n. De forma precisa, dado un esquema de aproximaci\u00f3n f(x; k \u00c2\u00a2 kx);\u00c2\u00a7ng; donde (x; k \u00c2\u00a2 kx) es un espacio de funciones a aproximar y f\u00c2\u00a7ngn\u00c2\u00bf1 es una colecci\u00f3n de subconjuntos de x; sea \u00c2\u00bfn(f;\u00c2\u00a7n)x el error de aproximaci\u00f3n de f 2 x por los elementos de \u00c2\u00a7n; es decir, \u00c2\u00bfn(f;\u00c2\u00a7n)x := \u00c2\u00b3nf g2\u00c2\u00a7n kf \u00c2\u00a1 gkx (1.1) se pretende caracterizar las funciones f 2 x que tienen un dado orden de aproximaci\u00f3n. por ejemplo, se pretende describir el conjunto a\u00c2\u00ae1(x;\u00c2\u00a7n); \u00c2\u00ae > 0; que consiste de todas las funciones f 2 x que tiene un orden de aproximaci\u00f3n \u00c2\u00bfn(f;\u00c2\u00a7n)x = o(n\u00c2\u00a1\u00c2\u00ae); n \u00c2\u00a1! 1: una familia de espacios de aproximaci\u00f3n m\u00e1s general se denota por a\u00c2\u00ae q (x;\u00c2\u00a7n); \u00c2\u00ae; q >0 y consiste de todas las funciones f 2 x tales que x1 n=1 [n\u00c2\u00ae\u00c2\u00bfn(f;\u00c2\u00a7n)]q 1 n (1.2)<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Aproximacion no lineal con bases de ondiculas<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Aproximacion no lineal con bases de ondiculas <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Mar\u00eda De Natividade <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Aut\u00f3noma de Madrid<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 16\/07\/2010<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n<h3>Direcci\u00f3n y tribunal<\/h3>\n<ul>\n<li><strong>Director de la tesis<\/strong>\n<ul>\n<li>Eugenio Hernandez Rodriguez<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: fernando Soria de diego <\/li>\n<li>joaquin Martin pedret (vocal)<\/li>\n<li>Jos\u00e9 m. Martell berrocal (vocal)<\/li>\n<li>Jos\u00e9 Mar\u00eda Almira picazo (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Mar\u00eda De Natividade Introducci\u00f3n 1.1. Historia y motivaci\u00f3n la aproximaci\u00f3n de una funci\u00f3n por una combinaci\u00f3n lineal [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""}},"footnotes":""},"categories":[126],"tags":[133703,208793,208794,187493,58661,208792],"class_list":["post-103045","post","type-post","status-publish","format-standard","hentry","category-matematicas","tag-eugenio-hernandez-rodriguez","tag-fernando-soria-de-diego","tag-joaquin-martin-pedret","tag-jose-m-martell-berrocal","tag-jose-maria-almira-picazo","tag-maria-de-natividade"],"_links":{"self":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/103045","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/comments?post=103045"}],"version-history":[{"count":0,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/103045\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/media?parent=103045"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/categories?post=103045"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/tags?post=103045"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}