{"id":209,"date":"2014-02-09T08:47:29","date_gmt":"2014-02-09T08:47:29","guid":{"rendered":"http:\/\/centralbaku.com\/imm\/?page_id=209"},"modified":"2023-02-07T11:52:41","modified_gmt":"2023-02-07T07:52:41","slug":"funksiyalar-n%c9%99z%c9%99riyy%c9%99si-sob%c9%99si","status":"publish","type":"page","link":"https:\/\/www.imm.az\/exp\/sob%c9%99l%c9%99r\/funksiyalar-n%c9%99z%c9%99riyy%c9%99si-sob%c9%99si\/","title":{"rendered":"Funksiyalar n\u0259z\u0259riyy\u0259si \u015f\u00f6b\u0259si"},"content":{"rendered":"<p><img loading=\"lazy\" decoding=\"async\" class=\"alignleft size-full wp-image-3827\" src=\"https:\/\/www.imm.az\/exp\/wp-content\/uploads\/2014\/02\/Funksiyalar_nezeriyyesi.jpg\" alt=\"Funksiyalar_nezeriyyesi\" width=\"600\" height=\"400\" srcset=\"https:\/\/www.imm.az\/exp\/wp-content\/uploads\/2014\/02\/Funksiyalar_nezeriyyesi.jpg 600w, https:\/\/www.imm.az\/exp\/wp-content\/uploads\/2014\/02\/Funksiyalar_nezeriyyesi-300x200.jpg 300w\" sizes=\"(max-width: 600px) 100vw, 600px\" \/><\/p>\n<table style=\"border: none;\" border=\"0\" width=\"100%\" cellspacing=\"0\" cellpadding=\"0\">\n<tbody>\n<tr>\n<td valign=\"top\" width=\"193\"><strong>Struktur b\u00f6lm\u0259nin r\u0259hb\u0259ri:<\/strong><\/td>\n<td>V\u00fcqar Elman o\u011flu \u0130smay\u0131lov<br \/>\nRiyaziyyat \u00fczr\u0259 elml\u0259r doktoru<\/td>\n<\/tr>\n<tr>\n<td valign=\"top\"><\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td><strong>Tel:<\/strong><\/td>\n<td>(012) 538-62-17<\/td>\n<\/tr>\n<tr>\n<td valign=\"top\"><strong>E-mail:<\/strong><\/td>\n<td>\u00a0<a href=\"mailto:vugar.ismayilov@imm.az\">vugar.ismayilov@imm.az<\/a>,\u00a0<a href=\"mailto:vugaris@mail.ru\">vugaris@mail.ru<\/a><\/td>\n<\/tr>\n<tr>\n<td valign=\"top\"><strong>\u0130\u015f\u00e7il\u0259rin \u00fcmumi sayi:<\/strong><\/td>\n<td>7<\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<\/tr>\n<tr>\n<td><strong> Struktur b\u00f6lm\u0259nin \u0259sas f\u0259aliyy\u0259t istiqam\u0259tl\u0259ri:<\/strong><\/td>\n<td>\u00c7oxd\u0259yi\u015f\u0259nli funksiyalar\u0131n ridge funksiyalar, neyron \u015f\u0259b\u0259k\u0259l\u0259r, x\u0259tti v\u0259 qeyri x\u0259tti superpozisiyalarla yax\u0131nla\u015fmas\u0131, funksional f\u0259zalar \u00fc\u00e7\u00fcn daxilolma teoreml\u0259ri.<\/td>\n<\/tr>\n<tr>\n<td valign=\"top\"><\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td valign=\"top\"><strong>Struktur b\u00f6lm\u0259nin \u0259sas elmi n\u0259tic\u0259l\u0259ri:<\/strong><\/td>\n<td>\n<p style=\"text-align: justify;\">1) \u00c7oxd\u0259yi\u015f\u0259nli funksiyalar\u0131n d\u0259yi\u015f\u0259nl\u0259rinin say\u0131 az olan funksiyalar\u0131 c\u0259mi, ridge funksiyalar\u0131n x\u0259tti kombinasiyalar\u0131 v\u0259 x\u0259tti superpozisiyalar \u015f\u0259klind\u0259 g\u00f6st\u0259ril\u0259 bilm\u0259si \u00fc\u00e7\u00fcn z\u0259ruri v\u0259 kafi \u015f\u0259rtl\u0259r tap\u0131lm\u0131\u015fd\u0131r;<br \/>\n2) Ridge funksiyalar c\u0259minin verilmi\u015f k\u0259silm\u0259z funksiyaya ekstremal olmas\u0131 \u00fc\u00e7\u00fcn \u00c7eb\u0131\u015fev tipli teorem isbat edilmi\u015fdir;<br \/>\n3) M\u00fcnt\u0259z\u0259m v\u0259 inteqral metrikalarda \u00e7oxd\u0259yi\u015f\u0259nli funksiyan\u0131n d\u0259yi\u015f\u0259nl\u0259rinin say\u0131 az olan funksiyalar\u0131n c\u0259ml\u0259ri v\u0259 ridge funksiyalar il\u0259 yax\u0131nla\u015fma x\u0259tas\u0131n\u0131 d\u0259qiq hesablamaq v\u0259 \u0259n yax\u015f\u0131 yax\u0131nla\u015fma ver\u0259n funksiyan\u0131 konstruktiv qurmaq \u00fc\u00e7\u00fcn a\u015fkar d\u00fcsturlar al\u0131nm\u0131\u015fd\u0131r;<br \/>\n4) Kompakt Hausdorf f\u0259zas\u0131nda t\u0259yin olunmu\u015f h\u0259r bir k\u0259silm\u0259z funksiyan\u0131n x\u0259tti superpozisiyalarla g\u00f6st\u0259rili\u015f\u0259 bilm\u0259 \u015f\u0259rti daxilind\u0259, bu f\u0259zada verilmi\u015f b\u00fct\u00fcn dig\u0259r funksiylar\u0131n da bel\u0259 g\u00f6st\u0259ri\u015f\u0259 malik olmas\u0131n\u0131n do\u011frulu\u011fu isbat edilmi\u015fdir. X\u00fcsusi halda A.N.Kolmoqorovun superpozisiyalar haqq\u0131nda m\u0259\u015fhur teoreminin v\u0259 superpozisiyalar haqq\u0131nda olan bir s\u0131ra dig\u0259r n\u0259tic\u0259l\u0259rin k\u0259sil\u0259n funksiyalar \u00fc\u00e7\u00fcn do\u011frulu\u011fu g\u00f6st\u0259rilmi\u015fdir.<br \/>\n5) \u00c7\u0259kil\u0259r \u00e7oxlu\u011fu sonlu sayda istiqam\u0259td\u0259n ibar\u0259t neyron \u015f\u0259b\u0259k\u0259l\u0259rin k\u0259silm\u0259z funksiyalar f\u0259zas\u0131nda s\u0131x olmas\u0131 \u00fc\u00e7\u00fcn z\u0259ruri v\u0259 kaf\u0131 \u015f\u0259rtl\u0259r tap\u0131lm\u0131\u015fd\u0131r.<\/p>\n<p style=\"text-align: justify;\">6) Morri tipli yeni f\u0259zalar ail\u0259si qurulmu\u015f v\u0259 bu f\u0259zalardan olan funksiyalar\u0131n \u00fcmumil\u0259\u015fmi\u015f qar\u0131\u015f\u0131q t\u00f6r\u0259m\u0259l\u0259ri \u00fc\u00e7\u00fcn inteqral g\u00f6st\u0259ri\u015fl\u0259ri al\u0131nm\u0131\u015fd\u0131r. Bu inteqral g\u00f6st\u0259ri\u015fl\u0259rinin k\u00f6m\u0259yi il\u0259 qurulmu\u015f f\u0259zalardan olan funksiyalar\u0131n \u00fcmumil\u0259\u015fmi\u015f qar\u0131\u015f\u0131q t\u00f6r\u0259m\u0259l\u0259ri \u00fc\u00e7\u00fcn h\u0259m diferensial , h\u0259m d\u0259 diferensial-f\u0259rq xass\u0259l\u0259ri \u00f6yr\u0259nilmi\u015fdir. Al\u0131nm\u0131\u015f n\u0259z\u0259ri n\u0259tic\u0259l\u0259r bir s\u0131ra y\u00fcks\u0259k t\u0259rtibli diferensial t\u0259nlikl\u0259rin t\u0259dqiq olunmas\u0131na t\u0259tbiq olunmu\u015fdur.<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td valign=\"top\"><\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td valign=\"top\"><strong>Probleml\u0259r\u0259 uy\u011fun \u00e7apdan \u00e7\u0131xm\u0131\u015f \u0259sas elmi \u0259s\u0259rl\u0259r:<\/strong><\/td>\n<td>\n<ul>\n<li><strong><a href=\"https:\/\/www.imm.az\/exp\/n%C9%99srl%C9%99r-2021\/\">N\u0259\u015frl\u0259r &#8211; 2021<\/a><\/strong><\/li>\n<li><strong><a href=\"https:\/\/www.imm.az\/exp\/n%c9%99srl%c9%99r-2020\/\">N\u0259\u015frl\u0259r &#8211; 2020<\/a><\/strong><\/li>\n<li><strong><a href=\"https:\/\/www.imm.az\/exp\/n%C9%99srl%C9%99r-2019\/\">N\u0259\u015frl\u0259r &#8211; 2019<\/a><\/strong><\/li>\n<li><strong><a href=\"https:\/\/www.imm.az\/exp\/n%C9%99srl%C9%99r-2018\/\">N\u0259\u015frl\u0259r &#8211; 2018<\/a><\/strong><\/li>\n<li><a href=\"\/exp\/?page_id=15700\"><strong>N\u0259\u015frl\u0259r \u2013 2017<\/strong><\/a><\/li>\n<li><a href=\"\/exp\/?page_id=9642\"><strong>N\u0259\u015frl\u0259r \u2013 2016<\/strong><\/a><\/li>\n<li><a href=\"\/exp\/?page_id=4830\"><strong>N\u0259\u015frl\u0259r \u2013 2015<\/strong><\/a><\/li>\n<li><a href=\"\/exp\/?page_id=4420\"><strong>N\u0259\u015frl\u0259r \u2013 2014<\/strong><\/a><\/li>\n<\/ul>\n<p>1. Vugar E. Ismailov, Approximation by neural networks with weights varying on a finite set of directions, Journal of Mathematical Analysis and Applications, 389 (2012), Issue 1, 72-83.2.Vugar E. Ismailov, A note on the representation of continuous functions by linear superpositions, Expositiones Mathematicae 30 (2012), Issue 1, 96-101.3.Vugar E. Ismailov, On the theorem of M Golomb, Proc. Indian Acad. Sci. (Math. Sci.), 119 (2009), no. 1, 45-52.<\/p>\n<p>4.Vugar E. Ismailov, On the representation by linear superpositions, Journal of Approximation Theory 151 (2008), Issue 2 , 113-125.<\/p>\n<p>5.Vugar E. Ismailov, On the approximation by compositions of fixed multivariate functions with univariate functions, Studia Mathematica 183 (2007), 117-126.<\/p>\n<p>6.Vugar E. Ismailov, Representation of multivariate functions by sums of ridge functions, Journal of Mathematical Analysis and Applications 331 (2007), Issue 1, 184-190.<\/p>\n<p>7.Vugar E. Ismailov, Characterization of an extremal sum of ridge functions, Journal of Computational and Applied Mathematics 205 (2007), Issue 1, 105-115.<\/p>\n<p>8. Kadimova Leyla Sh., Najafov Alik M., Theorems on imbedding of functions from the Sobolev-Morrey generalized space, Proc. A. Razmadze Math. Inst. 154 (2010), 97-109.<\/p>\n<p>9. Najafov Alik M., Smooth solutions of a class of quasielliptic equations, Sarajevo J. Math. 3(16) (2007), no. 2, 193-206.<\/p>\n<p>10. Najafov A., Problem on the smoothness of solutions of one class of hypoelliptic equations, Proc. A. Razmadze Math. Inst. 140 (2006), 131-139.<\/p>\n<p>11. Najafov A., Some properties of functions from the intersection of Besov-Morrey type spaces with dominant mixed derivatives, Proc. A. Razmadze Math. Inst. 139 (2005), 71-82.<\/p>\n<p>12. Najafov Alik M., On some properties of the functions from Sobolev-Morrey type spaces, Cent. Eur. J. Math. 3 (2005), no. 3, 496-507.<\/p>\n<p>13. Guliyev V. S., Serbetci, A., Safarov, Z. V., Meda inequality for rearrangements of the B-convolutions and some applications, J. Math. Inequal. 2 (2008), no. 4, 437-447.<\/p>\n<p>14. Guliyev V. S., Safarov Z. V., Serbetci A., On the rearrangement estimates and the boundedness of the generalized fractional integrals associated with the Laplace-Bessel differential operator, Acta Math. Hungar. 119 (2008), no. 3, 201-217.<\/p>\n<p>15. Guliyev V. S., Serbetci A., Safarov Z. V., Inequality of O&#8217;Neil-type for convolutions associated with the Laplace-Bessel differential operator and applications, Math. Inequal. Appl. 11 (2008), no. 1, 99-112.<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n","protected":false},"excerpt":{"rendered":"<p>Struktur b\u00f6lm\u0259nin r\u0259hb\u0259ri: V\u00fcqar Elman o\u011flu \u0130smay\u0131lov Riyaziyyat \u00fczr\u0259 elml\u0259r doktoru Tel: (012) 538-62-17 E-mail: \u00a0vugar.ismayilov@imm.az,\u00a0vugaris@mail.ru \u0130\u015f\u00e7il\u0259rin \u00fcmumi sayi: 7 Struktur b\u00f6lm\u0259nin \u0259sas f\u0259aliyy\u0259t istiqam\u0259tl\u0259ri: \u00c7oxd\u0259yi\u015f\u0259nli funksiyalar\u0131n ridge funksiyalar, neyron \u015f\u0259b\u0259k\u0259l\u0259r, x\u0259tti v\u0259 qeyri x\u0259tti superpozisiyalarla yax\u0131nla\u015fmas\u0131, funksional f\u0259zalar \u00fc\u00e7\u00fcn daxilolma teoreml\u0259ri. Struktur b\u00f6lm\u0259nin \u0259sas elmi n\u0259tic\u0259l\u0259ri: 1) \u00c7oxd\u0259yi\u015f\u0259nli funksiyalar\u0131n d\u0259yi\u015f\u0259nl\u0259rinin say\u0131 az olan funksiyalar\u0131 [&hellip;]<\/p>\n","protected":false},"author":6,"featured_media":0,"parent":203,"menu_order":0,"comment_status":"open","ping_status":"open","template":"","meta":{"footnotes":""},"_links":{"self":[{"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/pages\/209"}],"collection":[{"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/users\/6"}],"replies":[{"embeddable":true,"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/comments?post=209"}],"version-history":[{"count":5,"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/pages\/209\/revisions"}],"predecessor-version":[{"id":43051,"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/pages\/209\/revisions\/43051"}],"up":[{"embeddable":true,"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/pages\/203"}],"wp:attachment":[{"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/media?parent=209"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}