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3.5.E36
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Formula:1262
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MaRDI QID
Q1262
Label: 3.5.E36
Digital Library of Mathematical Functions ID
3.5.E36
I
(
f
)
=
∑
k
=
1
n
w
k
f
(
ζ
k
)
+
E
n
(
f
)
,
𝐼
𝑓
superscript
subscript
𝑘
1
𝑛
subscript
𝑤
𝑘
𝑓
subscript
𝜁
𝑘
subscript
𝐸
𝑛
𝑓
{\displaystyle{\displaystyle I(f)=\sum_{k=1}^{n}w_{k}f(\zeta_{k})+E_{n}(f),}}
Constraint(s)
Symbols List
I
(
f
)
𝐼
𝑓
{\displaystyle{\displaystyle I(f)}}
: Bromwich integral (locally)
ζ
k
subscript
𝜁
𝑘
{\displaystyle{\displaystyle\zeta_{k}}}
: Gauss nodes
E
n
(
f
)
subscript
𝐸
𝑛
𝑓
{\displaystyle{\displaystyle E_{n}(f)}}
: error term (locally)
w
k
subscript
𝑤
𝑘
{\displaystyle{\displaystyle w_{k}}}
: weights
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