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3.11.E13
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Formula:1496
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MaRDI QID
Q1496
Label: 3.11.E13
Digital Library of Mathematical Functions ID
3.11.E13
ϵ
n
(
x
)
=
d
n
+
1
T
n
+
1
(
2
x
-
a
-
b
b
-
a
)
,
subscript
italic-ϵ
𝑛
𝑥
subscript
𝑑
𝑛
1
Chebyshev-polynomial-first-kind-T
𝑛
1
2
𝑥
𝑎
𝑏
𝑏
𝑎
{\displaystyle{\displaystyle\epsilon_{n}(x)=d_{n+1}T_{n+1}\left(\frac{2x-a-b}{% b-a}\right),}}
Constraint(s)
Symbols List
T
n
(
x
)
Chebyshev-polynomial-first-kind-T
𝑛
𝑥
{\displaystyle{\displaystyle T_{\NVar{n}}\left(\NVar{x}\right)}}
: Chebyshev polynomial of the first kind
ϵ
n
(
x
)
subscript
italic-ϵ
𝑛
𝑥
{\displaystyle{\displaystyle\epsilon_{n}(x)}}
: error
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