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Results tagged with real-analysis
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user 480636
Real-valued functions of real variable, analytic properties of functions and sequences, limits, continuity, smoothness of these.
2
votes
2
answers
315
views
$L^1$ norm for a product of cosines
Let $k$ be an integer and consider the function
$$
f(t)=\prod_{i=1}^{k} \cos(3^{i-1}\pi t).
$$
I'm interested in finding bounds for $\int_{0}^{1}|f(t)|dt$ in terms of $k$. The first idea that comes to …
- 178
0
votes
$L^1$ norm for a product of cosines
Another idea (from the work of Maynard on primes with missing digits) to bound this integral is as follows: Since $t\in [0,1]$, we expand $t$ in base 3 as $t=\sum_{i=1}^{\infty} t_i/3^i$, where $t_i\i …
- 178