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English
Bernstein's theorem
in approximation theory, a converse to Jackson's theorem
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Statements
instance of
theorem
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facet of
approximation theory
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named after
Sergei Natanovich Bernstein
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defining formula
sup
0
≤
x
≤
2
π
|
f
(
x
)
−
P
n
(
x
)
|
≤
C
(
f
)
n
r
+
α
{\displaystyle \sup _{0\leq x\leq 2\pi }|f(x)-P_{n}(x)|\leq {\frac {C(f)}{n^{r+\alpha }}}}
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maintained by WikiProject
WikiProject Mathematics
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different from
Bernstein's theorem (polynomials)
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Identifiers
Freebase ID
/m/0gwyvj9
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enwiki
Bernstein's theorem (approximation theory)
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