Квадратурные и кубатурные формулы. Добрынина Н.Ф - 13 стр.

UptoLike

ВУЗ: 

ПГУ | Пенза

Составители: 

Рубрика: 

13
∑
=
+−+−+
+
−
−
+
+−
=
n
k
n
k
n
xkhaxkhaEB
n
ab
n
xb
xK
1
.1))((
)!1()!2(
2)(
)( (6)
Числа Бернулли
n = 1
2
1
10
== BB
n = 2
6
1
20
== BB
6
4
1
=B
n = 3
8
1
30
== BB
8
3
21
== BB
n = 4
90
7
40
== BB
90
32
31
== BB
90
12
2
=B
n = 5
288
19
50
== BB
288
75
41
== BB
288
50
32
== BB
n = 6
840
272
840
41
3
60
=
==
B
BB
840
216
51
== BB
840
27
42
== BB
n = 7
17280
751
70
== BB
17280
2989
43
== BB
17280
3577
61
== BB
17280
1323
52
== BB
n = 8
28350
10496
28350
989
53
80
==
==
BB
BB
28350
4540
28350
5888
4
71
−=
==
B
BB
28350
928
62
−== BB
n = 9
89600
19344
89600
2857
63
90
==
==
BB
BB
89600
5778
89600
15741
54
81
==
==
BB
BB
89600
1080
72
== BB
                 (b − x) n + 2 b − a n
      K ( x) =
                   (n + 2)!
                              −          ∑
                                (n + 1)! k =1
                                              Bk E (a + kh − x)(a + kh − x) n + 1. (6)


                                   Числа Бернулли
n=1                           1
                 B0 = B1 =
                              2
n=2                           1                       4
                 B0 = B2 =                     B1 =
                              6                       6
n=3                           1                           3
                 B0 = B3 =                 B1 = B2 =
                              8                           8
n=4                          7                            32                 12
                 B0 = B4 =                B1 = B3 =                  B2 =
                             90                           90                 90
n=5                          19                           75                  50
             B0 = B5 =                   B1 = B4 =                B2 = B3 =
                             288                          288                 288
n=6                           41                       216                     27
             B0 = B6 =                   B1 = B5 =                B2 = B4 =
                             840                       840                    840
                     272
             B3 =
                     840
n=7                         751                        3577                   1323
            B0 = B7 =                   B1 = B6 =                B2 = B5 =
                           17280                      17280                  17280
                        2989
           B3 = B4 =
                       17280
n=8                    989                        5888                         928
            B0 = B8 =                   B1 = B7 =               B2 = B6 = −
                      28350                      28350                        28350
                      10496                    4540
            B3 = B5 =                   B4 = −
                      28350                    28350
n=9                    2857                       15741                      1080
            B0 = B9 =                   B1 = B8 =                B2 = B7 =
                      89600                       89600                      89600
                      19344                        5778
            B3 = B6 =                   B4 = B5 =
                      89600                       89600




                                          13

Страницы