{"id":87686,"date":"2000-01-12T00:00:00","date_gmt":"2000-01-12T00:00:00","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/equivalencia-local-en-funciones-no-regulares\/"},"modified":"2000-01-12T00:00:00","modified_gmt":"2000-01-12T00:00:00","slug":"equivalencia-local-en-funciones-no-regulares","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/equivalencia-local-en-funciones-no-regulares\/","title":{"rendered":"EquiValencia local en funciones no regulares"},"content":{"rendered":"<h2>Tesis doctoral de <strong> Mar\u00eda Alonso Duran <\/strong><\/h2>\n<p>Para funciones f:rn &#8212;&gt;r no diferenciables frechet, ni diferenciables en el sentido de bouligand en un punto xo, se define un concepto de aproximaci\u00f3n local que engloba a las clases m\u00e1s utilizadas de derivadas direccionales.  dado un esquema de aproximaci\u00f3n local, se analiza su comportamiento cualitativo respecto de diferentes clases de funciones a trav\u00e9s de equiValencia topolog\u00eda. como resultado, se obtienen homeomorfismo que permiten relacionar la funci\u00f3n con sus aproximaciones locales en el entorno de un punto no cr\u00edtico, utilizando la definici\u00f3n de punto no cr\u00edtico en este contexto.  se estudia un tipo concreto de funciones lipschitzianas, para las cuales se analiza la equiValencia topol\u00f3gica en el caso de un punto cr\u00edtico. Las condiciones de esta equiValencia son suficientes para la existencia de un extremo local.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>EquiValencia local en funciones no regulares<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 EquiValencia local en funciones no regulares <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Mar\u00eda Alonso Duran <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Nacional de educaci\u00f3n a distancia<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 01\/12\/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>Luis Marino Santana Rodriguez<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: pedro Jimenez guerra <\/li>\n<li>alejandro Balbas de la corte (vocal)<\/li>\n<li>Luis Gavete corvinos (vocal)<\/li>\n<li> Leandro de Mar\u00eda  Jos\u00e9 (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Mar\u00eda Alonso Duran Para funciones f:rn &#8212;&gt;r no diferenciables frechet, ni diferenciables en el sentido de bouligand [&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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