ֲ ֲ
, y=f(x) [ a,b ] n . x Î [ a,b ], i = 1,2..., n.
, , y(x) - n. (, ) , y x, . y(x) . , y x. . , ln 4.63, ln 4.6 ln 4.7. - xi .
Y(x),
(2.1)
y(x) y(x) Y(x). Y(x) y(x),
(2.2)
, (2.2), (2.1).
m m +1 . (2.1). n n i=0,1,... n -1.
, x2 , 0. , , . , , , .
n -1, (2.1), :
, (2.3)
- n -1 , :
, (2.4)
(2.4) , i¹j, :
(2.5)
k , .
ϳ (2.5) (2.3), :
. (2.6)
, . .
.
.
1
|
|
2 - (2.7)
k -
г .
(2.8)
, , m m- 1 :
.
, n
, (2.9)
. , .
.
- :
(2.10)
:
L (1)(x) L (2) (x) L (3)(x)..................... L (n)(x)
L (1,2)(x) L (2,3) (x)..................
L (1,2,3) (x).....................
....................
L (1,2,3,...n) (x)