{"id":212,"date":"2018-12-20T11:12:34","date_gmt":"2018-12-20T11:12:34","guid":{"rendered":"http:\/\/statp02.epgpbooks.inflibnet.ac.in\/?post_type=chapter&#038;p=212"},"modified":"2018-12-20T11:16:00","modified_gmt":"2018-12-20T11:16:00","slug":"mean-convergence-theorem","status":"publish","type":"chapter","link":"https:\/\/ebooks.inflibnet.ac.in\/statp02\/chapter\/mean-convergence-theorem\/","title":{"rendered":"Mean Convergence Theorem"},"content":{"raw":"<div><span style=\"float: right\"><a href=\"https:\/\/youtu.be\/xBzVqEzWY4I\" target=\"_blank\" rel=\"noopener\"><img src=\"http:\/\/epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/2018\/11\/download.png\" alt=\"epgp books\" width=\"75px\" height=\"75px;\" \/><\/a>\r\n<\/span><\/div>\r\n<img class=\"aligncenter size-full wp-image-214\" src=\"http:\/\/statp02.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/126\/2018\/12\/1522236235MeanConvergenceTheorem-1.jpg\" alt=\"\" width=\"1259\" height=\"1369\" \/> <img class=\"aligncenter size-full wp-image-215\" src=\"http:\/\/statp02.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/126\/2018\/12\/1522236235MeanConvergenceTheorem-2.jpg\" alt=\"\" width=\"1331\" height=\"1597\" \/> <img class=\"aligncenter size-full wp-image-216\" src=\"http:\/\/statp02.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/126\/2018\/12\/1522236235MeanConvergenceTheorem-3.jpg\" alt=\"\" width=\"1265\" height=\"1613\" \/> <img class=\"aligncenter size-full wp-image-217\" src=\"http:\/\/statp02.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/126\/2018\/12\/1522236235MeanConvergenceTheorem-4.jpg\" alt=\"\" width=\"1299\" height=\"1613\" \/>\r\n<table>\r\n<tbody>\r\n<tr>\r\n<td><strong>you can view video on Mean Convergence Theorem<\/strong><\/td>\r\n<td><a href=\"https:\/\/youtu.be\/xBzVqEzWY4I\" target=\"_blank\" rel=\"noopener\"><img class=\"alignnone wp-image-120\" src=\"http:\/\/epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/2018\/11\/download.png\" alt=\"\" width=\"36\" height=\"36\" \/><\/a><\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<img class=\"aligncenter size-full wp-image-220\" src=\"http:\/\/statp02.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/126\/2018\/12\/1522236241MeanConvergenceTheorem_Ref-1.jpg\" alt=\"\" width=\"1195\" height=\"763\" \/>","rendered":"<div><span style=\"float: right\"><a href=\"https:\/\/youtu.be\/xBzVqEzWY4I\" target=\"_blank\" rel=\"noopener\"><img decoding=\"async\" src=\"http:\/\/epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/2018\/11\/download.png\" alt=\"epgp books\" width=\"75px\" height=\"75px;\" \/><\/a><br \/>\n<\/span><\/div>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-214\" src=\"http:\/\/statp02.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/126\/2018\/12\/1522236235MeanConvergenceTheorem-1.jpg\" alt=\"\" width=\"1259\" height=\"1369\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522236235MeanConvergenceTheorem-1.jpg 1259w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522236235MeanConvergenceTheorem-1-276x300.jpg 276w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522236235MeanConvergenceTheorem-1-768x835.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522236235MeanConvergenceTheorem-1-942x1024.jpg 942w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522236235MeanConvergenceTheorem-1-65x71.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522236235MeanConvergenceTheorem-1-225x245.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522236235MeanConvergenceTheorem-1-350x381.jpg 350w\" sizes=\"auto, (max-width: 1259px) 100vw, 1259px\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-215\" src=\"http:\/\/statp02.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/126\/2018\/12\/1522236235MeanConvergenceTheorem-2.jpg\" alt=\"\" width=\"1331\" height=\"1597\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522236235MeanConvergenceTheorem-2.jpg 1331w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522236235MeanConvergenceTheorem-2-250x300.jpg 250w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522236235MeanConvergenceTheorem-2-768x921.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522236235MeanConvergenceTheorem-2-853x1024.jpg 853w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522236235MeanConvergenceTheorem-2-65x78.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522236235MeanConvergenceTheorem-2-225x270.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522236235MeanConvergenceTheorem-2-350x420.jpg 350w\" sizes=\"auto, (max-width: 1331px) 100vw, 1331px\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-216\" src=\"http:\/\/statp02.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/126\/2018\/12\/1522236235MeanConvergenceTheorem-3.jpg\" alt=\"\" width=\"1265\" height=\"1613\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522236235MeanConvergenceTheorem-3.jpg 1265w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522236235MeanConvergenceTheorem-3-235x300.jpg 235w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522236235MeanConvergenceTheorem-3-768x979.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522236235MeanConvergenceTheorem-3-803x1024.jpg 803w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522236235MeanConvergenceTheorem-3-65x83.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522236235MeanConvergenceTheorem-3-225x287.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522236235MeanConvergenceTheorem-3-350x446.jpg 350w\" sizes=\"auto, (max-width: 1265px) 100vw, 1265px\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-217\" src=\"http:\/\/statp02.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/126\/2018\/12\/1522236235MeanConvergenceTheorem-4.jpg\" alt=\"\" width=\"1299\" height=\"1613\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522236235MeanConvergenceTheorem-4.jpg 1299w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522236235MeanConvergenceTheorem-4-242x300.jpg 242w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522236235MeanConvergenceTheorem-4-768x954.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522236235MeanConvergenceTheorem-4-825x1024.jpg 825w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522236235MeanConvergenceTheorem-4-65x81.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522236235MeanConvergenceTheorem-4-225x279.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522236235MeanConvergenceTheorem-4-350x435.jpg 350w\" sizes=\"auto, (max-width: 1299px) 100vw, 1299px\" \/><\/p>\n<table>\n<tbody>\n<tr>\n<td><strong>you can view video on Mean Convergence Theorem<\/strong><\/td>\n<td><a href=\"https:\/\/youtu.be\/xBzVqEzWY4I\" target=\"_blank\" rel=\"noopener\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-120\" src=\"http:\/\/epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/2018\/11\/download.png\" alt=\"\" width=\"36\" height=\"36\" \/><\/a><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-220\" src=\"http:\/\/statp02.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/126\/2018\/12\/1522236241MeanConvergenceTheorem_Ref-1.jpg\" alt=\"\" width=\"1195\" height=\"763\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522236241MeanConvergenceTheorem_Ref-1.jpg 1195w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522236241MeanConvergenceTheorem_Ref-1-300x192.jpg 300w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522236241MeanConvergenceTheorem_Ref-1-768x490.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522236241MeanConvergenceTheorem_Ref-1-1024x654.jpg 1024w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522236241MeanConvergenceTheorem_Ref-1-65x42.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522236241MeanConvergenceTheorem_Ref-1-225x144.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-content\/uploads\/sites\/126\/2018\/12\/1522236241MeanConvergenceTheorem_Ref-1-350x223.jpg 350w\" sizes=\"auto, (max-width: 1195px) 100vw, 1195px\" \/><\/p>\n","protected":false},"author":3,"menu_order":16,"template":"","meta":{"_acf_changed":false,"pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"class_list":["post-212","chapter","type-chapter","status-publish","hentry"],"part":3,"_links":{"self":[{"href":"https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-json\/pressbooks\/v2\/chapters\/212","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-json\/wp\/v2\/users\/3"}],"version-history":[{"count":4,"href":"https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-json\/pressbooks\/v2\/chapters\/212\/revisions"}],"predecessor-version":[{"id":221,"href":"https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-json\/pressbooks\/v2\/chapters\/212\/revisions\/221"}],"part":[{"href":"https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-json\/pressbooks\/v2\/parts\/3"}],"metadata":[{"href":"https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-json\/pressbooks\/v2\/chapters\/212\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-json\/wp\/v2\/media?parent=212"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-json\/pressbooks\/v2\/chapter-type?post=212"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-json\/wp\/v2\/contributor?post=212"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/ebooks.inflibnet.ac.in\/statp02\/wp-json\/wp\/v2\/license?post=212"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}