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f
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1
n
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∫
x
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x
n
f
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{\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
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{\displaystyle f[x_{0},\ldots ,x_{n}]}
1
n
!
{\displaystyle {\frac {1}{n!}}}
∫
x
0
x
n
{\displaystyle \int _{x_{0}}^{x_{n}}}
f
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n
)
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t
)
B
n
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1
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t
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d
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{\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}}}
![{\displaystyle f[x_{0},\ldots ,x_{n}]={\frac {1}{n!}}\int _{x_{0}}^{x_{n}}f^{(n)}(t)B_{n-1}(t)\,dt}](https://wikimedia.org/api/rest_v1/media/math/render/svg/4ae40d8692899cbc0fdcb156a32205e51c00250b)
![{\displaystyle f[x_{0},\ldots ,x_{n}]}](https://wikimedia.org/api/rest_v1/media/math/render/svg/2c4d655ef8c761e8ebad6a67073fe8bf08e93545)
