{"id":33843,"date":"1998-01-01T00:00:00","date_gmt":"1998-01-01T00:00:00","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/aproximacion-conservativa-y-teoremas-de-korovkin\/"},"modified":"1998-01-01T00:00:00","modified_gmt":"1998-01-01T00:00:00","slug":"aproximacion-conservativa-y-teoremas-de-korovkin","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/aproximacion-conservativa-y-teoremas-de-korovkin\/","title":{"rendered":"Aproximacion conservativa y teoremas de korovkin."},"content":{"rendered":"<h2>Tesis doctoral de <strong> Daniel Cardenas Morales <\/strong><\/h2>\n<p>En 1953 korovkin estableci\u00f3 un teorema que con el tiempo se har\u00eda muy c\u00e9lebre. Su simplicidad y al mismo tiempo su poder han despertado el inter\u00e9s de muchos matem\u00e1ticos. Se trata de un criterio que permite decidir si dada una sucesi\u00f3n de operadores lineales positivos kn definidos en el espacio c\u00ed\u00b5a,b\u00ed\u00a5 se verifica que knf converge uniformemente a f en \u00ed\u00b5a,b\u00ed\u00a5 para toda funci\u00f3n f c\u00ed\u00b5a,b\u00ed\u00a5. El criterio establece que basta verificar la convergencia uniforme para f c{e0, e1, e2}.  durante los \u00faltimos a\u00f1os muchas investigaciones han extendido el resultado para diferentes espacios funcionales y espacios m\u00e1s abstractos, como los ret\u00edculos de banach o las \u00e1lgebras de banach, estableciendo una teor\u00eda que en la actualidad podemos llamar, en palabras de altomare y campiti, teor\u00eda de aproximaci\u00f3n de tipo korovkin, que adem\u00e1s de conectar con la teor\u00eda cl\u00e1sica de aproximaci\u00f3n, tambi\u00e9n lo hace con otros campos como el an\u00e1lisis funcional, el an\u00e1lisis arm\u00f3nico, la teor\u00eda de la medida, la teor\u00eda de probabilidad y las ecuaciones en derivadas parciales.  esta memoria recoge una aportaci\u00f3n a una peque\u00f1a parcela de esta extensa rama de la aproximaci\u00f3n. En concreto y a pesar de que los \u00faltimos avances realizados pretenden completar el desarrollo de la teor\u00eda siempre en el ambiente de espacios muy generales, no se va m\u00e1s all\u00e1 del estudio de operadores que tienen por dominio espacios de funciones definidas en el eucl\u00eddeo m-dimensional y, aun as\u00ed, los trabajos recogidos parecen estar aportando nuevas ideas en el campo de la aproximaci\u00f3n de tipo korovkin.  el tema se desarrolla en el \u00e1mbito de la aproximaci\u00f3n conservativa, cuyo inter\u00e9s en los \u00faltimos tiempos ha aumentado y donde el problema consiste en asignar a una funci\u00f3n f, que se quiere aproximar mediante un operador kn otra que pertenezca a un conjunto m\u00e1s reducido, de tal modo que las propiedades de forma que verifique la primera se mantengan para la funci\u00f3<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Aproximacion conservativa y teoremas de korovkin.<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Aproximacion conservativa y teoremas de korovkin. <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Daniel Cardenas Morales <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Granada<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 01\/01\/1998<\/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> Mu\u00f1oz Delgado Francisco Javier<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: Mar\u00eda no Gasca Gonzalez <\/li>\n<li>Francisco Marcellan Espa\u00f1ol (vocal)<\/li>\n<li>Jes\u00fas Mar\u00eda Sanz Serna (vocal)<\/li>\n<li>Rafael Ortega Rios (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Daniel Cardenas Morales En 1953 korovkin estableci\u00f3 un teorema que con el tiempo se har\u00eda muy c\u00e9lebre. [&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":[1191,25948,126],"tags":[73598,4781,27823,10209,73092,32613],"class_list":["post-33843","post","type-post","status-publish","format-standard","hentry","category-analisis-numerico","category-interpolacion-aproximacion-y-ajuste-de-curvas","category-matematicas","tag-daniel-cardenas-morales","tag-francisco-marcellan-espanol","tag-jesus-maria-sanz-serna","tag-maria-no-gasca-gonzalez","tag-munoz-delgado-francisco-javier","tag-rafael-ortega-rios"],"_links":{"self":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/33843","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=33843"}],"version-history":[{"count":0,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/33843\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/media?parent=33843"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/categories?post=33843"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/tags?post=33843"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}