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Results tagged with trigonometric-sums
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user 69226
5
votes
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answers
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About trigonometric series of the Lip $\alpha$ class
Assume we have a trigonometric series
$$
f(x)=\sum_{n=1}^{\infty} a_n\sin nx \in \text{Lip }\alpha, \, 0<\alpha <1.
$$
Is there anything we can say about the series
$$
g(x)=\sum_{n=1}^{\infty} |a_n|\ …