{"id":123485,"date":"2024-05-14T18:20:08","date_gmt":"2024-05-14T15:20:08","guid":{"rendered":"https:\/\/milliycha.uz\/?p=123485"},"modified":"2024-05-14T18:20:11","modified_gmt":"2024-05-14T15:20:11","slug":"ketma-ket-yaqinlashishlar-usuli","status":"publish","type":"post","link":"https:\/\/milliycha.uz\/kr\/ketma-ket-yaqinlashishlar-usuli\/","title":{"rendered":"KETMA-KET YAQINLASHISHLAR USULI"},"content":{"rendered":"\n<p>KETMA-KET YAQINLASHISHLAR USULI \u2014 matematik masalalarni son- lar orqali echish usuli; bunda ma&#8217;lum yaqinlashishlarga qarab undan keying ancha yaqinroq yaqinlashishdagi echim to- piladi. Aytib o&#8217;tilgan yaqinlashishlar ketma-ketligi yaqinlashgan holdagina tatbiq etiladi. Mac, \/W=0 (1) ko&#8217;rinishidagi tenglamani echish uchun o&#8217;nga teng kuchli bo&#8217;lgan tenglama x=G'(x) (2) tekshiriladi [bu erda F(x)= f(x)+x\\ va bunday ketma-ket- lik tuziladi: xy \u2014ixtiyoriy, x=F(xn ), &#8230; . Agar {xj ketma-ketlikning limiti bo&#8217;lsa, bu limit (1) tenglamaning echimi bo&#8217;ladi. Agar, mas, G'(x) > x va 0 &lt; G&#8221;(x) &lt; 1 bo&#8217;lsa, bunday yaqinlashishlar ketma- ketligi albatta yaqinlashadi. K-k. ya. u. o&#8217;zgaruvchilari juda ko&#8217;p bo&#8217;lgan chiziqli tenglamalar sistemasini sonlar orqali echishda ham qo&#8217;llaniladi. Differentsi- al va integro-differentsial tenglama- larning taqribiy echimlari ham mana shu usul b-n topiladi. K-k. ya. u. nazariy ma- salalarida ham qo&#8217;llaniladi. y&#8217;\u2014f(x,y) differentsial tenglama echimining mav- judligi va yagonaligy haqida teorema ham shu usul yordamida isbotlanadi. K.-k. ya. u.ning qo&#8217;llanilish imkoniyati siqilgan akslantirishlar orqali belgi- lanadi.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>KETMA-KET YAQINLASHISHLAR USULI \u2014 matematik masalalarni son- lar orqali echish usuli; bunda ma&#8217;lum yaqinlashishlarga qarab undan keying ancha yaqinroq yaqinlashishdagi echim to- piladi. Aytib o&#8217;tilgan yaqinlashishlar ketma-ketligi yaqinlashgan holdagina tatbiq &hellip; <a href=\"https:\/\/milliycha.uz\/kr\/ketma-ket-yaqinlashishlar-usuli\/\" class=\"more-link\">Read More<\/a><\/p>\n","protected":false},"author":1,"featured_media":99837,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[201],"tags":[],"class_list":["post-123485","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-k-harfi","entry"],"translation":{"provider":"WPGlobus","version":"3.0.2","language":"kr","enabled_languages":["uz","kr","ru"],"languages":{"uz":{"title":true,"content":true,"excerpt":false},"kr":{"title":false,"content":false,"excerpt":false},"ru":{"title":false,"content":false,"excerpt":false}}},"_links":{"self":[{"href":"https:\/\/milliycha.uz\/kr\/wp-json\/wp\/v2\/posts\/123485","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/milliycha.uz\/kr\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/milliycha.uz\/kr\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/milliycha.uz\/kr\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/milliycha.uz\/kr\/wp-json\/wp\/v2\/comments?post=123485"}],"version-history":[{"count":1,"href":"https:\/\/milliycha.uz\/kr\/wp-json\/wp\/v2\/posts\/123485\/revisions"}],"predecessor-version":[{"id":123492,"href":"https:\/\/milliycha.uz\/kr\/wp-json\/wp\/v2\/posts\/123485\/revisions\/123492"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/milliycha.uz\/kr\/wp-json\/wp\/v2\/media\/99837"}],"wp:attachment":[{"href":"https:\/\/milliycha.uz\/kr\/wp-json\/wp\/v2\/media?parent=123485"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/milliycha.uz\/kr\/wp-json\/wp\/v2\/categories?post=123485"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/milliycha.uz\/kr\/wp-json\/wp\/v2\/tags?post=123485"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}