{"id":84595,"date":"2018-03-10T00:08:55","date_gmt":"2018-03-10T00:08:55","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/sobre-la-convergencia-de-aproximantes-tipo-pade-bipuntuales-y-formulas-de-cuadratura\/"},"modified":"2018-03-10T00:08:55","modified_gmt":"2018-03-10T00:08:55","slug":"sobre-la-convergencia-de-aproximantes-tipo-pade-bipuntuales-y-formulas-de-cuadratura","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/sobre-la-convergencia-de-aproximantes-tipo-pade-bipuntuales-y-formulas-de-cuadratura\/","title":{"rendered":"Sobre la convergencia de aproximantes tipo pad\u00e9 bipuntuales y f\u00f3rmulas de cuadratura."},"content":{"rendered":"<h2>Tesis doctoral de <strong> Carlos Javier D\u00edaz Mendoza <\/strong><\/h2>\n<p>La tesis se encuentra extruaturada en tres cap\u00edtulos. En el primero se recopilan algunos resultados conocidos sobre convergencia de aproximantes de pad\u00e9 y su relaci\u00f3n conlas f\u00f3rmulas de cuadratura de tipo interpolatorio, y en especial conlas f\u00f3rmulas gaussianas exactas en ciertos sitemas de marlkov. El segundo cap\u00edtulo est\u00e1 dedicado a al construcci\u00f3n y estudio de la convergencia de f\u00f3rmulas de cuadratura para integrales en el intervalo no acotado o, de funciones integrables riemann-stieltjes en sentido propio o impropio, cuyas \u00fanicas singularidades est\u00e1n en el origen y\/o infinito.  las f\u00f3rumulas se construyen de manera que sean exactas en espacio de polinomios de laurent, obteni\u00e9ndose as\u00ed f\u00f3rmulas de tipo interpolatorio y gaussianas, cuyos nodos son adem\u00e1s la convergenica y se dan estimaciones de su velocidad, que se ilustran con ejemplos num\u00e9ricos. El tercer cap\u00edtulo est\u00e1 dedicado a la aproximaci\u00f3n tipo pad\u00e9 bipuntual.  en primer lugar se establecen resultados de convergencia para los casos en que haya o no nodos de interpolaci\u00f3n enla frontera del dominio, y para funicones con determinados comportamientos en el origen e infinito, utilizando t\u00e9cnicas de teor\u00eda del potencial. Se proporcionan ejemplos num\u00e9ricos y se hace una breve extensi\u00f3n al caso multipuntual.  se obtiene adem\u00e1s una estimaci\u00f3n de la velocidad de convergencia de f\u00f3rmulas de cuadratura para integrandos anal\u00edticos utilizando la relaci\u00f3n existente entre aproximantes tipo pad\u00e9 bipuntuales y f\u00f3rmulas de cuadratura exactas en espacios de polinomios de laurent.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Sobre la convergencia de aproximantes tipo pad\u00e9 bipuntuales y f\u00f3rmulas de cuadratura.<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Sobre la convergencia de aproximantes tipo pad\u00e9 bipuntuales y f\u00f3rmulas de cuadratura. <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Carlos Javier D\u00edaz Mendoza <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 La laguna<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 19\/05\/2000<\/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>Pablo Gonz\u00e1lez Vera<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: n\u00e1cere Hayek calil <\/li>\n<li>adhmar Buthell (vocal)<\/li>\n<li>Mar\u00eda no Gasca gonzalez (vocal)<\/li>\n<li>guillermo Lopez lagomasino (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Carlos Javier D\u00edaz Mendoza La tesis se encuentra extruaturada en tres cap\u00edtulos. En el primero se recopilan [&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":[1191,26225,25948,9915,126],"tags":[178615,178614,4785,10209,10208,26227],"class_list":["post-84595","post","type-post","status-publish","format-standard","hentry","category-analisis-numerico","category-cuadratura","category-interpolacion-aproximacion-y-ajuste-de-curvas","category-la-laguna","category-matematicas","tag-adhmar-buthell","tag-carlos-javier-diaz-mendoza","tag-guillermo-lopez-lagomasino","tag-maria-no-gasca-gonzalez","tag-nacere-hayek-calil","tag-pablo-gonzalez-vera"],"_links":{"self":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/84595","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=84595"}],"version-history":[{"count":0,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/84595\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/media?parent=84595"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/categories?post=84595"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/tags?post=84595"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}