{"id":69515,"date":"2018-03-09T23:13:58","date_gmt":"2018-03-09T23:13:58","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/aproximacion-hermite-pade-y-aplicaciones\/"},"modified":"2018-03-09T23:13:58","modified_gmt":"2018-03-09T23:13:58","slug":"aproximacion-hermite-pade-y-aplicaciones","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/carlos-iii-de-madrid\/aproximacion-hermite-pade-y-aplicaciones\/","title":{"rendered":"Aproximacion hermite-pad\u00e9 y aplicaciones"},"content":{"rendered":"<h2>Tesis doctoral de <strong> Ulises Fidalgo Prieto <\/strong><\/h2>\n<p>Se introducen los sistemas de funciones de nikishin, la aproximaci\u00f3n generalizada hermite-pad\u00e9 y su relaci\u00f3n con los polinomios multi-ortogonales de sistemas de funciones.  Se definen los conceptos de normalidad fuerte para multi-\u00edndices y perfecci\u00f3n para sistemas de funciones. Se incrementa la clase de multi-\u00edndices conocidos para los cuales se tiene normalidad fuerte. Posteriormente se aprovecha esta clase para demostrar condiciones de entrelazamiento de ceros entre polinomios multi-ortogonales asociados a sistemas de nikishin.  Se dan condiciones suficientes de convergencia en el sentido del contenido de hausdorff de los aproximantes multipuntuales hermite-pad\u00e9 de sistemas de funciones de nikishin. Usando luego los resultados mencionados a cerca de la normalidad fuerte, se deducen ciertas condiciones de convergencia uniforme para estos aproximantes, y se encuentra que la velocidad de convergencia es geom\u00e9trica. Para los aproximantes generalizados hermite-pad\u00e9 de sistemas de nikishin se da una expresi\u00f3n expl\u00edcita de la velocidad de convergencia. para ello se necesit\u00f3 demostrar ciertos resultados sobre el problema de equilibrio del potencial logar\u00edtmico vectorial en presencia de campo externo. por \u00faltimo se expuso una aplicaci\u00f3n de todos estos resultados al c\u00e1lculo de integrales a trav\u00e9s de f\u00f3rmulas cuadraturas simultaneas para integrandos de distintas caracter\u00edsticas, por ejemplo funciones continuas, rimann integrables, \u00f3 anal\u00edticas.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Aproximacion hermite-pad\u00e9 y aplicaciones<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Aproximacion hermite-pad\u00e9 y aplicaciones <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Ulises Fidalgo Prieto <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Carlos III de Madrid<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 16\/07\/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>Guillermo Lopez Lagomasino<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: Francisco Marcellan espa\u00f1ol <\/li>\n<li>andrei Martinez finkelshtein (vocal)<\/li>\n<li>jeffrey Geronimo (vocal)<\/li>\n<li>ignacio Alvarez rocha (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Ulises Fidalgo Prieto Se introducen los sistemas de funciones de nikishin, la aproximaci\u00f3n generalizada hermite-pad\u00e9 y su [&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 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