{"id":136349,"date":"1997-01-01T00:00:00","date_gmt":"1997-01-01T00:00:00","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/metodos-probabilisticos-en-la-teoria-de-la-aproximacion\/"},"modified":"1997-01-01T00:00:00","modified_gmt":"1997-01-01T00:00:00","slug":"metodos-probabilisticos-en-la-teoria-de-la-aproximacion","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/metodos-probabilisticos-en-la-teoria-de-la-aproximacion\/","title":{"rendered":"Metodos probabilisticos en la teoria de la aproximacion."},"content":{"rendered":"<h2>Tesis doctoral de <strong>  Badia Blasco Francisco German <\/strong><\/h2>\n<p>En esta memoria se estudian problemas de aproximacion concernientes a operadores de tipo bernstein y a c-semigrupos. En la mayor parte de los casos, el estudio se lleva a cabo usando metodos probabilisticos, lo cual contribuye a profundizar en la interrelacion entre dos disciplinas que hasta hace no mucho se presentan cmo mutuamente independientes: la teoria de la probabilidad y la teoria de la aproximacion. Se hace especial hincapie en la representacion probabilistica mediante procesos estocasticos adecuados de las estructuras que se estudian.  en particular, a lo largo de este trabajo se estudian las cuestiones siguientes:  a) propiedades de preservacion de forma (monotonia, constantes de lipschitz, convexidad, etc.) De ciertos operadores integrales asociados a distribuciones de probabilidad de tipo beta.  b) propiedades de la \u00abtrayectoria de aproximacion\u00bb de los operadores del apartado a) cuando actuan sobre funciones convexas y sobre funciones absoluta o completamente monotonas. Con una de las propiedades se resuelve una conjetura de m.K. Khan (1991).  c) limites de iteradas y de combinaciones lineales de iteradas de tipo fejer-korovkin para los operadores de bleimann-butzer y hahn y de meyer-konig-zeller (modificado por cheney y sharma (1964). Las propiedades anteriores se deducen de dos identidades basicas: una que relaciona las iteradas del operador de bleimann-butzer y hahn con las del operador de bernstein y otra que liga las iteradas del operador de meyer-konig-zeller (modificado) con las del operador de baskakov.  d) generalizacion de la propiedad de voronovskaja para los operadores de bleimannn-butzer y hahn y de meyer-konig-zeller (modificado). Esta propiedad tambien se deduce mediante las identidades basicas.  e) razones de convergencia para las formulas de representacion de c-semigrupos exponencialmente acotados dadas por shaw y li (1993). Las cotas vienen dadas en terminos de los momentos de los procesos qu<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Metodos probabilisticos en la teoria de la aproximacion.<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Metodos probabilisticos en la teoria de la aproximacion. <\/li>\n<li><strong>Autor:<\/strong>\u00a0  Badia Blasco Francisco German <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Zaragoza<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 01\/01\/1997<\/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> Adell Pascual Jos\u00e9 Antonio<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: Miguel San Miguel Marco <\/li>\n<li>Jes\u00fas Bastero Eleizalde (vocal)<\/li>\n<li> Cuesta Albertos Juan  Antonio (vocal)<\/li>\n<li> De La Cal Agudo Jes\u00fas (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Badia Blasco Francisco German En esta memoria se estudian problemas de aproximacion concernientes a operadores de tipo [&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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