{"id":5441,"date":"2026-05-26T10:22:43","date_gmt":"2026-05-26T01:22:43","guid":{"rendered":"https:\/\/www.ktech.biz\/jp\/?p=5441"},"modified":"2026-05-26T10:22:43","modified_gmt":"2026-05-26T01:22:43","slug":"6-3_inter","status":"publish","type":"post","link":"https:\/\/www.ktech.biz\/jp\/num\/6-3_inter\/","title":{"rendered":"6.3 \u76f4\u4ea4\u591a\u9805\u5f0f\u88dc\u9593"},"content":{"rendered":"\n\u76f4\u4ea4\u591a\u9805\u5f0f\u7cfb\u3092\u4f7f\u7528\u3057\u305f\u76f4\u4ea4\u591a\u9805\u5f0f\u88dc\u9593\u306f\u6570\u5024\u7a4d\u5206\u306a\u3069\u306b\u5fdc\u7528\u3055\u308c\u308b.<\/p>\n<h3>6.3.1 \u76f4\u4ea4\u591a\u9805\u5f0f\u7cfb<\/h3>\n<p>\u533a\u9593 \\([a, b]\\) \u304a\u3088\u3073\u5bc6\u5ea6 (\u91cd\u307f) \u95a2\u6570 \\(w(x)\\) \u304c\u4e0e\u3048\u3089\u308c\u3066\u3044\u308b\u3068\u304d, \u6b21\u5f0f\u3092\u6e80\u305f\u3059\u591a\u9805\u5f0f\u7cfb \\({ p_n(x) }\\) \u3092\u76f4\u4ea4\u591a\u9805\u5f0f\u7cfb\u3068\u3044\u3046.<br \/>\n\\[<br \/>\n(p_j, p_k)_w = \\int_a^b p_j(x)p_k(x)w(x) dx \\space (j \\ne k)<br \/>\n\\]\n\u305f\u3060\u3057, \\((p_j, p_k)_w\\) \u306f \\(p_j\\) \u3068 \\(p_k\\) \u306e\u91cd\u307f\u4ed8\u304d\u5185\u7a4d\u3067\u3042\u308b.<\/p>\n<p>\\(w(x)\\) \u306f \\([a, b]\\) \u3067\u9023\u7d9a\u3067, \u6709\u9650\u500b\u306e\u70b9\u3067 0 \u306b\u306a\u308b\u3053\u3068\u3092\u9664\u3044\u3066 \\(w(x) \\gt 0\\) \u3068\u3059\u308b. \u307e\u305f, \\(\\int_a^b x^kw(x) dx\\) \u304c \\(k = 0, 1, 2, \\dots\\) \u306b\u3064\u3044\u3066\u6709\u754c\u3068\u3059\u308b.<\/p>\n<p>\\(j = k\\) \u306e\u3068\u304d\u5185\u7a4d\u306f\u6b63\u306e\u5024\u3092\u3068\u308a, \u3053\u308c\u3092 \\(\\lambda_k\\) \u3067\u8868\u3059\u3053\u3068\u306b\u3059\u308b.<\/p>\n<p>\u5c55\u958b\u5f62\u306e \\(x^k\\) \u306e\u4fc2\u6570\u3092 \\(\\mu_k\\) \u3067\u8868\u3059\u3053\u3068\u306b\u3059\u308b. \u305f\u3060\u3057, \\(\\mu_0\\) \u306f\u6b63\u306e\u5b9a\u6570\u3068\u3059\u308b.<br \/>\n\\[<br \/>\np_n(x) = \\mu_0 + \\mu_1x + \\mu_2x^2 + \\dots + \\mu_nx^n<br \/>\n\\]\n<h3>6.3.2 \u76f4\u4ea4\u591a\u9805\u5f0f\u306e\u6027\u8cea<\/h3>\n<p>n \u6b21\u76f4\u4ea4\u591a\u9805\u5f0f\u306b\u306f\u6b21\u306e\u3088\u3046\u306a\u6027\u8cea\u304c\u3042\u308b.<\/p>\n<ul>\n<li>\u533a\u9593 \\([a, b]\\) \u5185\u306b n \u500b\u306e\u76f8\u7570\u306a\u308b\u30bc\u30ed\u70b9\u3092\u6301\u3061, \u3059\u3079\u3066\u5358\u6839\u3067\u3042\u308b.<\/li>\n<li>\u6b21\u306e\u3088\u3046\u306a\uff13\u9805\u6f38\u5316\u5f0f\u304c\u5b58\u5728\u3059\u308b (\\(p_{-1}(x) = 0\\) \u3068\u3059\u308b).<br \/>\n\\[<br \/>\np_k(x) = (\\alpha_kx + \\beta_k)p_{k-1}(x) &#8211; \\gamma_kp_{k-2}(x) \\space (k = 1, 2, \\dots)<br \/>\n\\]\n\u305f\u3060\u3057,<br \/>\n\\[<br \/>\n\\begin{align}<br \/>\n&#038; \\alpha_k = \\mu_k\/\\mu_{k-1} \\\\<br \/>\n&#038; \\beta_k = -\\alpha_k(xp_{k-1} . p_{k-1})\/\\lambda_{k-1} \\\\<br \/>\n&#038; \\gamma_k = \\alpha_k(xp_{k-1} . p_{k-2})\/\\lambda_{k-2} = \\mu_k\\mu_{k-2}\\lambda_{k-1}\/(\\mu_{k-1}^2\\lambda_{k-2})<br \/>\n\\end{align}<br \/>\n\\]\n<\/pre>\n<\/li>\n<li>\u6b21\u5f0f (\u30af\u30ea\u30b9\u30c8\u30c3\u30d5\u30a7\u30eb\u30fb\u30c0\u30eb\u30d6\u30fc\u306e\u6052\u7b49\u5f0f) \u304c\u6210\u308a\u7acb\u3064.<br \/>\n\\[<br \/>\n\\sum_{k=0}^{n-1} \\frac{p_k(x)p_k(y)}{\\lambda_k} = \\frac{\\mu_{n-1}}{\\mu_n\\lambda_{n-1}} \\frac{p_n(x)p_{n-1}(y) &#8211; p_{n-1}(x)p_n(y)}{x &#8211; y}<br \/>\n\\]\n<\/li>\n<\/ul>\n<h3>6.3.3 \u4ee3\u8868\u7684\u306a\u76f4\u4ea4\u591a\u9805\u5f0f<\/h3>\n<p>\u4ee5\u4e0b\u306e\u3088\u3046\u306a\u76f4\u4ea4\u591a\u9805\u5f0f\u304c\u3088\u304f\u77e5\u3089\u308c\u3066\u3044\u308b.<\/p>\n<div class=\"su-table su-table-responsive su-table-alternate\">\n<table>\n<tr>\n<th>\u76f4\u4ea4\u591a\u9805\u5f0f<\/th>\n<th>\u8a18\u53f7<\/th>\n<th>\\([a, b]\\)<\/th>\n<th>\\(w(x)\\)<\/th>\n<th>0 \u3067\u306a\u3044\u5185\u7a4d\u306e\u5024 \\(\\lambda_n\\)<\/th>\n<th>\u591a\u9805\u5f0f\u306e\u6700\u9ad8\u6b21\u306e\u4fc2\u6570 \\(\\mu_n\\)<\/th>\n<\/tr>\n<tr>\n<td>\u30eb\u30b8\u30e3\u30f3\u30c9\u30eb\u591a\u9805\u5f0f<\/td>\n<td>\\(P_n(x)\\)<\/td>\n<td>\\([-1, 1]\\)<\/td>\n<td>\\(1\\)<\/td>\n<td>\\(2\/(2n + 1)\\)<\/td>\n<td>\\(\\prod_{k=1}^n (2k &#8211; 1)\/k\\)<\/td>\n<\/tr>\n<tr>\n<td>\u30c1\u30a7\u30d3\u30b7\u30a7\u30d5\u591a\u9805\u5f0f<\/td>\n<td>\\(T_n(x)\\)<\/td>\n<td>\\([-1, 1]\\)<\/td>\n<td>\\((1 &#8211; x^2)^{-1\/2}\\)<\/td>\n<td>\\(\\pi\/2 (n &gt; 0), \\pi (n = 0))\\)<\/td>\n<td>\\(2^{n-1} (n &gt; 0), 1 (n = 0)\\)<\/td>\n<\/tr>\n<tr>\n<td>\u30e9\u30b2\u30fc\u30eb\u591a\u9805\u5f0f<\/td>\n<td>\\(L_n(x)\\)<\/td>\n<td>\\([0, +\\infty]\\)<\/td>\n<td>\\(e^{-x}\\)<\/td>\n<td>\\(1\\)<\/td>\n<td>\\((-1)^n\/n!\\)<\/td>\n<\/tr>\n<tr>\n<td>\u30a8\u30eb\u30df\u30fc\u30c8\u591a\u9805\u5f0f<\/td>\n<td>\\(H_n(x)\\)<\/td>\n<td>\\([-\\infty, +\\infty]\\)<\/td>\n<td>\\(e^{-x^2}\\)<\/td>\n<td>\\(\\pi^{1\/2}2^nn!\\)<\/td>\n<td>\\(2^n\\)<\/td>\n<\/tr>\n<\/table>\n<\/div>\n<p>\u3053\u308c\u3089\u306e\u76f4\u4ea4\u591a\u9805\u5f0f\u306e\u95a2\u6570\u5024\u306f\u6f38\u5316\u5f0f\u3092\u4f7f\u3063\u3066\u6c42\u3081\u308b\u3068\u3088\u3044. \u305d\u308c\u305e\u308c\u306e\u6f38\u5316\u5f0f\u304a\u3088\u3073\u305d\u306e\u5c0e\u95a2\u6570\u306e\u6f38\u5316\u5f0f\u306f\u6b21\u306e\u3068\u304a\u308a\u3067\u3042\u308b.<br \/>\n<div class=\"su-table su-table-responsive su-table-alternate\">\n<table>\n<tr>\n<th>\u76f4\u4ea4\u591a\u9805\u5f0f<\/th>\n<th>\u6f38\u5316\u5f0f<\/th>\n<th>\u5c0e\u95a2\u6570\u306e\u6f38\u5316\u5f0f<\/th>\n<\/tr>\n<tr>\n<td>\u30eb\u30b8\u30e3\u30f3\u30c9\u30eb\u591a\u9805\u5f0f<\/td>\n<td>\\((n+1)P_{n+1}(x) = (2n + 1)xP_n(x) &#8211; nP_{n-1}(x),\\)<br \/>\\(P_1(x) = x, P_0(x) = 1\\)<\/td>\n<td>\\((x^2 &#8211; 1)P&#8217;_n(x) = nxP_n(x) &#8211; nP_{n-1}(x)\\)<\/td>\n<\/tr>\n<tr>\n<td>\u30c1\u30a7\u30d3\u30b7\u30a7\u30d5\u591a\u9805\u5f0f<\/td>\n<td>\\(T_{n+1}(x) = 2xT_n(x) &#8211; T_{n-1}(x),\\)<br \/>\\(T_1(x) = x, T_0(x) = 1\\)<\/td>\n<td>\\(T&#8217;_n(x) = -\\frac{n}{2(1 &#8211; x^2)}(T_{n+1}(x) &#8211; T_{n-1}(x))\\)<\/td>\n<\/tr>\n<tr>\n<td>\u30e9\u30b2\u30fc\u30eb\u591a\u9805\u5f0f<\/td>\n<td>\\((n + 1)L_{n+1}(x) = (2n + 1 &#8211; x)L_n(x) &#8211; nL_{n-1}(x),\\)<br \/>\\(L_1(x) = 1 &#8211; x, L_0(x) = 1\\)<\/td>\n<td>\\(xL&#8217;_n(x) = n(L_n(x) &#8211; L_{n-1}(x))\\)<\/td>\n<\/tr>\n<tr>\n<td>\u30a8\u30eb\u30df\u30fc\u30c8\u591a\u9805\u5f0f<\/td>\n<td>\\(H_{n+1}(x) = 2xH_n(x) &#8211; 2nH_{n-1}(x),\\)<br \/>\\(H_1(x) = 2x, H_0(x) = 1\\)<\/td>\n<td>\\(H&#8217;_n(x) = 2nH_{n-1}(x)\\)<\/td>\n<\/tr>\n<\/table>\n<\/div>\n\u6ce8 &#8211; \u30c1\u30a7\u30d3\u30b7\u30a7\u30d5\u591a\u9805\u5f0f\u306f \\(T_n(x) = cos(nt)\\) (\u305f\u3060\u3057 \\(x = cos(t)\\)) \u306e\u3088\u3046\u306b\u4e09\u89d2\u95a2\u6570\u3067\u7c21\u5358\u306b\u8868\u3059\u3053\u3068\u3082\u3067\u304d\u308b.<\/p>\n<p>\u305d\u308c\u305e\u308c\u306e\u95a2\u6570\u3092\u30b0\u30e9\u30d5\u3067\u8868\u793a\u3059\u308b\u3068\u6b21\u306e\u3088\u3046\u306b\u306a\u308b.<\/p>\n<div style=\"text-align:center;\" >\n<strong>\u30eb\u30b8\u30e3\u30f3\u30c9\u30eb\u591a\u9805\u5f0f \\(P_n(x)\\)<\/strong>\n<\/div>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.ktech.biz\/jp\/wp-content\/uploads\/sites\/2\/2026\/05\/6-3_1_Legendre.png\" alt=\"\" width=\"640\" height=\"480\" class=\"aligncenter size-full wp-image-5497\" srcset=\"https:\/\/www.ktech.biz\/jp\/wp-content\/uploads\/sites\/2\/2026\/05\/6-3_1_Legendre.png 640w, https:\/\/www.ktech.biz\/jp\/wp-content\/uploads\/sites\/2\/2026\/05\/6-3_1_Legendre-300x225.png 300w\" sizes=\"auto, (max-width: 640px) 100vw, 640px\" \/><\/p>\n<div style=\"text-align:center;\" >\n<strong>\u30c1\u30a7\u30d3\u30b7\u30a7\u30d5\u591a\u9805\u5f0f \\(T_n(x)\\)<\/strong>\n<\/div>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.ktech.biz\/jp\/wp-content\/uploads\/sites\/2\/2026\/05\/6-3_2_Chebyshev.png\" alt=\"\" width=\"640\" height=\"480\" class=\"aligncenter size-full wp-image-5498\" srcset=\"https:\/\/www.ktech.biz\/jp\/wp-content\/uploads\/sites\/2\/2026\/05\/6-3_2_Chebyshev.png 640w, https:\/\/www.ktech.biz\/jp\/wp-content\/uploads\/sites\/2\/2026\/05\/6-3_2_Chebyshev-300x225.png 300w\" sizes=\"auto, (max-width: 640px) 100vw, 640px\" \/><\/p>\n<div style=\"text-align:center;\" >\n<strong>\u30e9\u30b2\u30fc\u30eb\u591a\u9805\u5f0f \\(L_n(x)\\)<\/strong>\n<\/div>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.ktech.biz\/jp\/wp-content\/uploads\/sites\/2\/2026\/05\/6-3_3_Laguerre.png\" alt=\"\" width=\"640\" height=\"480\" class=\"aligncenter size-full wp-image-5499\" srcset=\"https:\/\/www.ktech.biz\/jp\/wp-content\/uploads\/sites\/2\/2026\/05\/6-3_3_Laguerre.png 640w, https:\/\/www.ktech.biz\/jp\/wp-content\/uploads\/sites\/2\/2026\/05\/6-3_3_Laguerre-300x225.png 300w\" sizes=\"auto, (max-width: 640px) 100vw, 640px\" \/><\/p>\n<div style=\"text-align:center;\" >\n<strong>\u30a8\u30eb\u30df\u30fc\u30c8\u591a\u9805\u5f0f \\(H_n(x)\\)<\/strong> (\\(\\mu_n\\) \u3067\u30b9\u30b1\u30fc\u30ea\u30f3\u30b0\u3057\u305f\u3082\u306e)\n<\/div>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.ktech.biz\/jp\/wp-content\/uploads\/sites\/2\/2026\/05\/6-3_4_Hermite.png\" alt=\"\" width=\"640\" height=\"480\" class=\"aligncenter size-full wp-image-5500\" srcset=\"https:\/\/www.ktech.biz\/jp\/wp-content\/uploads\/sites\/2\/2026\/05\/6-3_4_Hermite.png 640w, https:\/\/www.ktech.biz\/jp\/wp-content\/uploads\/sites\/2\/2026\/05\/6-3_4_Hermite-300x225.png 300w\" sizes=\"auto, (max-width: 640px) 100vw, 640px\" \/><\/p>\n<h3>6.3.4 \u76f4\u4ea4\u591a\u9805\u5f0f\u88dc\u9593<\/h3>\n<p>\u30e9\u30b0\u30e9\u30f3\u30b8\u30e5\u88dc\u9593\u306b\u304a\u3044\u3066, \u6a19\u672c\u70b9\u3092\u7b49\u9593\u9694\u3067\u306f\u306a\u304f n + 1 \u6b21\u76f4\u4ea4\u591a\u9805\u5f0f \\(p_{n+1}(x)\\) \u306e\u30bc\u30ed\u70b9\u306b\u3068\u308b\u3053\u3068\u3092\u8003\u3048\u308b. \u76f4\u4ea4\u591a\u9805\u5f0f\u306e\u6027\u8cea\u3088\u308a\u305d\u306e\u30bc\u30ed\u70b9\u306f\u3059\u3079\u3066\u5358\u6839\u3067\u3042\u308b\u304b\u3089, \u3053\u306e\u3088\u3046\u306b\u3068\u308b\u3053\u3068\u306f\u53ef\u80fd\u3067\u3042\u308b.<\/p>\n<p>\\(x_0, x_1, \\dots, x_n\\) \u304c\u76f4\u4ea4\u591a\u9805\u5f0f \\(p_{n+1}(x)\\) \u306e\u30bc\u30ed\u70b9\u3067\u3042\u308b\u3068\u3059\u308b. \u30af\u30ea\u30b9\u30c8\u30c3\u30d5\u30a7\u30eb\u30fb\u30c0\u30eb\u30d6\u30fc\u306e\u6052\u7b49\u5f0f\u306b\u304a\u3044\u3066 \\(x = x_i, y = x_j\\) \u3068\u304a\u304f\u3068, \\(i \\ne j\\) \u306e\u3068\u304d\u306f<br \/>\n\\[<br \/>\n\\sum_{k=0}^n (p_k(x_i)p_k(x_j))\/\\lambda_k = 0 \\space (i \\ne j)<br \/>\n\\]\n\u3068\u306a\u308a, \\(i = j\\) \u306e\u3068\u304d\u306e\u5024\u3092 \\(1\/w_i\\) \u3068\u304a\u304f\u3068<br \/>\n\\[<br \/>\n1\/w_i = \\sum_{k=0}^n (p_k(x_i))^2\/\\lambda_k > 0<br \/>\n\\]\n\u3067\u3042\u308b. \u3059\u306a\u308f\u3061, \u6b21\u5f0f\u304c\u6210\u308a\u7acb\u3064.<br \/>\n\\[<br \/>\nw_i \\sum_{k=0}^n (p_k(x_i)p_k(x_j))\/\\lambda_k = \\delta_{ij}<br \/>\n\\]\n\u3053\u308c\u306f \\(p_{n+1}(x)\\) \u306e\u30bc\u30ed\u70b9\u3092\u6a19\u672c\u70b9\u3068\u3059\u308b\u30e9\u30b0\u30e9\u30f3\u30b8\u30e5\u88dc\u9593\u306e\u30e9\u30b0\u30e9\u30f3\u30b8\u30e5\u88dc\u9593\u4fc2\u6570\u3068\u306a\u3063\u3066\u3044\u308b.<br \/>\n\\[<br \/>\nf(x) = \\sum_{i=0}^n (w_i \\sum_{k=0}^n p_k(x_i)p_k(x)\/\\lambda_k) f(x_i)<br \/>\n\\]\n\u3055\u3089\u306b, \u3053\u308c\u306f\u6b21\u306e\u3088\u3046\u306b\u76f4\u4ea4\u591a\u9805\u5f0f\u306b\u3088\u308b\u88dc\u9593\u306b\u306a\u3063\u3066\u3044\u308b.<br \/>\n\\[<br \/>\n\\begin{align}<br \/>\n&#038; f(x) = \\sum_{k=0}^n c_kp_k(x) \\\\<br \/>\n&#038; \u305f\u3060\u3057, c_k = 1\/\\lambda_k \\sum_{i=0}^n w_ip_k(x_i)f(x_i) \\\\<br \/>\n\\end{align}<br \/>\n\\]\n<p>\u540c\u3058\u6b21\u6570\u306e\u88dc\u9593\u591a\u9805\u5f0f\u306b\u304a\u3044\u3066, \u88dc\u9593\u306e\u8aa4\u5dee\u3092\u3067\u304d\u308b\u3060\u3051\u5c0f\u3055\u304f\u3059\u308b\u305f\u3081\u306e\u6a19\u672c\u70b9\u306e\u3068\u308a\u65b9\u3092\u6c7a\u3081\u308b\u554f\u984c\u3092\u6700\u826f\u8fd1\u4f3c\u554f\u984c\u3068\u547c\u3073, \u3069\u306e\u3088\u3046\u306a\u95a2\u6570\u306b\u3082\u9069\u7528\u3067\u304d\u308b\u516c\u5f0f\u306f\u306a\u304f, \u95a2\u6570\u3054\u3068\u306b\u6c42\u3081\u308b\u5fc5\u8981\u304c\u3042\u308b.<\/p>\n<p>\u3057\u304b\u3057, \u6a19\u672c\u70b9\u3092\u76f4\u4ea4\u591a\u9805\u5f0f\u306e\u30bc\u30ed\u70b9\u306b\u3068\u308b (\u76f4\u4ea4\u591a\u9805\u5f0f\u88dc\u9593\u3059\u308b) \u3068\u6700\u826f\u306b\u8fd1\u3044\u7d50\u679c\u304c\u5f97\u3089\u308c\u308b\u3053\u3068\u304c\u308f\u304b\u3063\u3066\u3044\u3066, \u6570\u5024\u7a4d\u5206\u306a\u3069\u306b\u5fdc\u7528\u3055\u308c\u3066\u3044\u308b.<\/p>\n<h3>6.3.5 \u6570\u5024\u5b9f\u9a13<\/h3>\n<p>\u30c1\u30a7\u30d3\u30b7\u30a7\u30d5\u88dc\u9593\u306e\u4f8b\u3092\u793a\u3059.<\/p>\n<p>\u533a\u9593 \\([-1, 1]\\) \u306b\u304a\u3044\u3066 \\(n = 4, 8, 12, 20\\) \u3068\u3057\u3066 (\u3059\u306a\u308f\u3061, 4, 8, 12, 20 \u6b21\u591a\u9805\u5f0f\u3092\u7528\u3044\u3066) \u30eb\u30f3\u30b2\u306e\u95a2\u6570\u306e\u88dc\u9593\u3092\u884c\u3046. \u305f\u3060\u3057, n + 1 \u6b21\u30c1\u30a7\u30d3\u30b7\u30a7\u30d5\u591a\u9805\u5f0f\u306e\u30bc\u30ed\u70b9\u306b\u304a\u3051\u308b\u95a2\u6570\u5024\u3092\u30c7\u30fc\u30bf\u3068\u3057\u3066\u4f7f\u7528\u3059\u308b.<br \/>\n\\[<br \/>\nx_i = cos(\\pi(2i + 1)\/2n) \\space (i = 0, 1, \\dots, n)<br \/>\n\\]\n\u3053\u308c\u306f\u30c1\u30a7\u30d3\u30b7\u30a7\u30d5\u88dc\u9593\u3068\u547c\u3070\u308c\u308b.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.ktech.biz\/jp\/wp-content\/uploads\/sites\/2\/2026\/05\/6-3_5_Runge.png\" alt=\"\" width=\"640\" height=\"480\" class=\"aligncenter size-full wp-image-5492\" srcset=\"https:\/\/www.ktech.biz\/jp\/wp-content\/uploads\/sites\/2\/2026\/05\/6-3_5_Runge.png 640w, https:\/\/www.ktech.biz\/jp\/wp-content\/uploads\/sites\/2\/2026\/05\/6-3_5_Runge-300x225.png 300w\" sizes=\"auto, (max-width: 640px) 100vw, 640px\" \/><\/p>\n<p>\u6a19\u672c\u70b9\u3092\u7b49\u9593\u9694\u306b\u3068\u3063\u305f\u591a\u9805\u5f0f\u88dc\u9593 (6.1.3) \u306e\u3088\u3046\u306b\u4e21\u7aef\u3067\u767a\u6563\u3059\u308b\u3053\u3068\u306f\u306a\u304f, \u6a19\u672c\u70b9\u6570 n \u304c\u5927\u304d\u304f\u306a\u308b\u307b\u3069\u7cbe\u5ea6\u304c\u3088\u304f\u306a\u308b\u3053\u3068\u304c\u308f\u304b\u308b.<\/p>\n<p>\u30c1\u30a7\u30d3\u30b7\u30a7\u30d5\u88dc\u9593\u3082\u3042\u3089\u3086\u308b\u95a2\u6570\u306b\u3064\u3044\u3066\u3046\u307e\u304f\u3044\u304f\u308f\u3051\u3067\u306f\u306a\u3044\u304c, \u533a\u9593 \\([-1, 1]\\) \u3067\u9023\u7d9a\u306a 1 \u968e\u5c0e\u95a2\u6570\u3092\u6301\u3064\u95a2\u6570\u306b\u3064\u3044\u3066 \\(n \\to \\infty\\) \u306e\u3068\u304d \\(f(x)\\) \u306b\u53ce\u675f\u3059\u308b\u3053\u3068\u304c\u308f\u304b\u3063\u3066\u3044\u308b.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u76f4\u4ea4\u591a\u9805\u5f0f\u7cfb\u3092\u4f7f\u7528\u3057\u305f\u76f4\u4ea4\u591a\u9805\u5f0f\u88dc\u9593\u306f\u6570\u5024\u7a4d\u5206\u306a\u3069\u306b\u5fdc\u7528\u3055\u308c\u308b. 6.3.1 \u76f4\u4ea4\u591a\u9805\u5f0f\u7cfb \u533a\u9593 \\([a, b]\\) \u304a\u3088\u3073\u5bc6\u5ea6 (\u91cd\u307f) \u95a2\u6570 \\(w(x)\\) \u304c\u4e0e\u3048\u3089\u308c\u3066\u3044\u308b\u3068\u304d, \u6b21\u5f0f\u3092\u6e80\u305f\u3059\u591a\u9805\u5f0f\u7cfb \\({  [&hellip;]<\/p>\n","protected":false},"author":3,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"footnotes":""},"categories":[13],"tags":[],"class_list":["post-5441","post","type-post","status-publish","format-standard","hentry","category-num"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/www.ktech.biz\/jp\/wp-json\/wp\/v2\/posts\/5441","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.ktech.biz\/jp\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.ktech.biz\/jp\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.ktech.biz\/jp\/wp-json\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/www.ktech.biz\/jp\/wp-json\/wp\/v2\/comments?post=5441"}],"version-history":[{"count":33,"href":"https:\/\/www.ktech.biz\/jp\/wp-json\/wp\/v2\/posts\/5441\/revisions"}],"predecessor-version":[{"id":5501,"href":"https:\/\/www.ktech.biz\/jp\/wp-json\/wp\/v2\/posts\/5441\/revisions\/5501"}],"wp:attachment":[{"href":"https:\/\/www.ktech.biz\/jp\/wp-json\/wp\/v2\/media?parent=5441"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.ktech.biz\/jp\/wp-json\/wp\/v2\/categories?post=5441"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.ktech.biz\/jp\/wp-json\/wp\/v2\/tags?post=5441"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}