{"id":70631,"date":"2004-02-10T00:00:00","date_gmt":"2004-02-10T00:00:00","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/polinomios-extremales-y-aproximantes-de-fourier-pade\/"},"modified":"2004-02-10T00:00:00","modified_gmt":"2004-02-10T00:00:00","slug":"polinomios-extremales-y-aproximantes-de-fourier-pade","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/polinomios-extremales-y-aproximantes-de-fourier-pade\/","title":{"rendered":"Polinomios extremales y aproximantes de fourier-pad\u00e9"},"content":{"rendered":"<h2>Tesis doctoral de <strong> Judit M\u00ednguez Ceniceros <\/strong><\/h2>\n<p>En esta memoria se tratan fundamentalmente dos temas: polinomios extremales y aproximantes de fourier-pad\u00e9. Los polinomios extremales extienden a los polinomios ortogonales, los cuales tienen m\u00faltiples aplicaciones a ecuaciones diferenciales, teor\u00eda de aproximaci\u00f3n, etc. Dentro de los polinomios extremales se estudian por un lado, la asint\u00f3tica fuerte o de szeg\u00ed\u00b6 para polinomios extremales de sobolev, que se da en t\u00e9rminos de la \u00faltima medida, y por otro lado, la asint\u00f3tica fuerte para polinomios extremales respecto a una medida variante. Con la ayuda de este resultado damos un resultado de densidad de funciones racionales en el espacio hp(m), con m medida de szeg\u00ed\u00b6. Para probar asint\u00f3tica de estos dos tipos de polinomios extremales vamos a necesitar resultados de convexidad pseudo-uniforme, que tambi\u00e9n se incluyen en esta memoria.  en la segunda parte de la tesis se estudian los aproximantes de fourier-pad\u00e9 que son aproximantes que extienden las definiciones b\u00e1sicas de los aproximantes de pad\u00e9 cl\u00e1sicos en series de potencias, al caso de series de polinomios ortogonales. Es decir, recuperan desarrollos de fourier. En concreto estudiamos resultados cualitativos de los aproximantes de fourier-pad\u00e9 a funciones de stieltjes, y resultados cuantitativos de los aproximantes de fourier-pad\u00e9 a sistemas de angelesco, esto es, aproximaci\u00f3n simult\u00e1nea.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Polinomios extremales y aproximantes de fourier-pad\u00e9<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Polinomios extremales y aproximantes de fourier-pad\u00e9 <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Judit M\u00ednguez Ceniceros <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Rioja<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 02\/10\/2004<\/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>Manuel Bello Hern\u00e1ndez<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: Francisco Marcellan espa\u00f1ol <\/li>\n<li> Dur\u00e1n guarde\u00f1o Antonio  j. (vocal)<\/li>\n<li> De la calle ysern bernardo (vocal)<\/li>\n<li>mario P\u00e9rez riera (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Judit M\u00ednguez Ceniceros En esta memoria se tratan fundamentalmente dos temas: polinomios extremales y aproximantes de fourier-pad\u00e9. [&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":[3183,126,3385,18890,12647,39163],"tags":[154164,49515,4781,154162,154163,53891],"class_list":["post-70631","post","type-post","status-publish","format-standard","hentry","category-analisis-y-analisis-funcional","category-matematicas","category-medida-integracion-y-area","category-rioja","category-teoria-de-la-aproximacion","category-teoria-de-potencial","tag-de-la-calle-ysern-bernardo","tag-duran-guardeno-antonio-j","tag-francisco-marcellan-espanol","tag-judit-minguez-ceniceros","tag-manuel-bello-hernandez","tag-mario-perez-riera"],"_links":{"self":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/70631","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=70631"}],"version-history":[{"count":0,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/70631\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/media?parent=70631"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/categories?post=70631"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/tags?post=70631"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}