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f
[
x
0
,
…
,
x
n
]
=
1
n
!
∫
x
0
x
n
f
(
n
)
(
t
)
B
n
−
1
(
t
)
d
t
{\displaystyle f[x_{0},\ldots ,x_{n}]={\frac {1}{n!}}\int _{x_{0}}^{x_{n}}f^{(n)}(t)B_{n-1}(t)\,dt}
f
[
x
0
,
…
,
x
n
]
{\displaystyle f[x_{0},\ldots ,x_{n}]}
1
n
!
{\displaystyle {\frac {1}{n!}}}
∫
x
0
x
n
{\displaystyle \int _{x_{0}}^{x_{n}}}
f
(
n
)
(
t
)
B
n
−
1
(
t
)
d
t
{\displaystyle f^{(n)}(t)B_{n-1}(t)dt\,}
lim
n
→
∞
∑
i
=
0
n
1
i
{\displaystyle \lim _{n\rightarrow \infty }\sum _{i=0}^{n}{\frac {1}{i}}}