{"id":72126,"date":"2018-03-09T23:16:54","date_gmt":"2018-03-09T23:16:54","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/contribucion-al-problema-de-interpolacion-de-birkhoff\/"},"modified":"2018-03-09T23:16:54","modified_gmt":"2018-03-09T23:16:54","slug":"contribucion-al-problema-de-interpolacion-de-birkhoff","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/contribucion-al-problema-de-interpolacion-de-birkhoff\/","title":{"rendered":"Contribucion al problema de interpolacion de birkhoff"},"content":{"rendered":"<h2>Tesis doctoral de <strong> Francisco Palacios Qui\u00f1onero <\/strong><\/h2>\n<p>El objetivo de esta tesis es desarrollar la interpolaci\u00f3n de birkhoff mediante polinomios lacunarios.  en la interpolaci\u00f3n algebraica de birkhoff  se determina un polinomio de grado menor que n, para ello se emplean  n condiciones que fijan el valor del polinomio o sus derivadas.  Los problemas cl\u00e1sicos de interpolaci\u00f3n de lagrange, taylor, hermite, hermite-sylvester y abel-gontcharov son casos particulares de interpolaci\u00f3n algebraica de birkhoff.  un espacio de polinomios lacunarios de dimensi\u00f3n n es el conjunto de los polinomios que pueden generarse por combinaci\u00f3n lineal de  n potencias distintas de grados, en general, no consecutivos.  En particular, cuando tomamos potencias de grados 0,1,&#8230;,N-1,  se obtiene el espacio de polinomios de grado menor que n, empleado en la interpolaci\u00f3n algebraica cl\u00e1sica.  en la interpolaci\u00f3n algebraica cl\u00e1sica, el n\u00famero de condiciones determina el espacio de interpolaci\u00f3n. En contraste, en la interpolaci\u00f3n mediante polinomios lacunarios las condiciones de interpolaci\u00f3n determinan \u00fanicamente la dimensi\u00f3n del espacio de interpolaci\u00f3n y pueden existir una infinidad de espacios sobre los que realizar la interpolaci\u00f3n.  Esto nos permite construir mejores estrategias de interpolaci\u00f3n en ciertos casos,  como la interpolaci\u00f3n de funciones de gran crecimiento (interpolaci\u00f3n de exponenciales y de ramas asint\u00f3ticas).  la aportaci\u00f3n de la tesis consiste en la definici\u00f3n de un marco te\u00f3rico adecuado para la interpolaci\u00f3n de birkhoff mediante polinomios lacunarios y en la extensi\u00f3n al nuevo marco de los principales elementos de la interpolaci\u00f3n algebraica de birkhoff. En concreto, se generaliza la condici\u00f3n de p\u00f3lya, se caracteriza la regularidad condicionada, se establecen condiciones suficientes de regularidad ordenada que extienden el teorema de atkhison-sharma, se extiende la descomposici\u00f3n normal  y se establecen condiciones suficientes de singularidad en los casos indesco<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Contribucion al problema de interpolacion de birkhoff<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Contribucion al problema de interpolacion de birkhoff <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Francisco Palacios Qui\u00f1onero <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Polit\u00e9cnica de catalunya<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 20\/12\/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>Pere Rubio Diaz<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: jose Egozcue Juan <\/li>\n<li>pelegri Viader canals (vocal)<\/li>\n<li>josep Grane manlleu (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 Francisco Palacios Qui\u00f1onero El objetivo de esta tesis es desarrollar la interpolaci\u00f3n de birkhoff mediante polinomios lacunarios. [&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":[2809,1191,25948,126,10522,15596],"tags":[156933,156934,58661,15894,106743,15791],"class_list":["post-72126","post","type-post","status-publish","format-standard","hentry","category-algebra","category-analisis-numerico","category-interpolacion-aproximacion-y-ajuste-de-curvas","category-matematicas","category-polinomios","category-politecnica-de-catalunya","tag-francisco-palacios-quinonero","tag-jose-egozcue-juan","tag-jose-maria-almira-picazo","tag-josep-grane-manlleu","tag-pelegri-viader-canals","tag-pere-rubio-diaz"],"_links":{"self":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/72126","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=72126"}],"version-history":[{"count":0,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/72126\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/media?parent=72126"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/categories?post=72126"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/tags?post=72126"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}