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Results tagged with integral-geometry
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user 23381
1
vote
Rate of growth of an explicit integral
I got an alternative approach to prove the upper bound $J_n \leq C^n$, based on Fedja's idea of covering simplexes by cubes, and on David's description of $J_n$ using the functions $f$.
Using a chang …
- 113
8
votes
3
answers
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Rate of growth of an explicit integral
Let $$J_1=\int_0^1\frac{1}{\sqrt{1-t_2}}dt_2,$$
$$J_2=\int_0^1 \int_0^{t_2}\frac{1}{\sqrt{1-t_2}}(\frac{1}{\sqrt{1-t_3}}+\frac{1}{\sqrt{t_2-t_3}})dt_3dt_2,$$
$J_3=\int_0^1 \int_0^{t_2}\int_0^{t_3}\fra …
- 113