{"id":153761,"date":"2023-07-31T15:28:10","date_gmt":"2023-07-31T09:58:10","guid":{"rendered":"https:\/\/www.gkseries.com\/blog\/?p=153761"},"modified":"2023-07-31T15:28:12","modified_gmt":"2023-07-31T09:58:12","slug":"the-value-of-the-function-fx-is-given-at-n-distinct-values-of-x-and-its-value-is-to-be-interpolated-at-the-point-x-using-all-the-n-points","status":"publish","type":"post","link":"https:\/\/www.gkseries.com\/blog\/the-value-of-the-function-fx-is-given-at-n-distinct-values-of-x-and-its-value-is-to-be-interpolated-at-the-point-x-using-all-the-n-points\/","title":{"rendered":"The value of the function f(x) is given at n distinct values of x and its value is to be interpolated at the point x*, using all the n points"},"content":{"rendered":"\n<p>Q. The value of the function <em>f(x) <\/em>is given at <em>n <\/em>distinct values of <em>x <\/em>and its value is to be interpolated at the point <em>x*<\/em>, using all the <em>n <\/em>points. The estimate is obtained first by the Lagrange polynomial, denoted by <em>IL<\/em>, and then by the Newton polynomial, denoted by <em>IN<\/em>. Which one of the following statements is correct?<\/p>\n\n\n\n<p>(A) <em>I<\/em><em>L <\/em>is always greater than <em>I<\/em><em>N<\/em><em><\/em><\/p>\n\n\n\n<p>(B) <em>I<\/em><em>L <\/em>and <em>I<\/em><em>N <\/em>are always equal<\/p>\n\n\n\n<p>(C) <em>I<\/em><em>L <\/em>is always less than <em>I<\/em><em>N<\/em><em><\/em><\/p>\n\n\n\n<p>(D) No definite relation exists between <em>IL <\/em>and <em>IN<\/em><\/p>\n\n\n\n<p>Ans: No definite relation exists between <em>IL <\/em>and <em>IN<\/em><\/p>\n\n\n\n<p><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Q. The value of the function f(x) is given at n distinct values of x and its value is to be interpolated at the point x*, using all the n points. The estimate is obtained first by the Lagrange polynomial, denoted by IL, and then by the Newton polynomial, denoted by IN. Which one of [&hellip;]<\/p>\n","protected":false},"author":419,"featured_media":153762,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[5141],"tags":[5140],"offerexpiration":[],"class_list":["post-153761","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-gate","tag-gate-questions"],"_links":{"self":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/153761","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/users\/419"}],"replies":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/comments?post=153761"}],"version-history":[{"count":1,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/153761\/revisions"}],"predecessor-version":[{"id":153763,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/153761\/revisions\/153763"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media\/153762"}],"wp:attachment":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media?parent=153761"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/categories?post=153761"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/tags?post=153761"},{"taxonomy":"offerexpiration","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/offerexpiration?post=153761"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}