# Tagged Questions

1answer
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### Local positivity of solutions to linear differential inequalities (Chaplygin's theorem)

According to the entry "Differential inequality" of the Encyclopedia of Mathematics http://www.encyclopediaofmath.org/index.php/Differential_inequality the following result is due to Chaplygin ...
0answers
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### Upper bound on integrals of Legendre polynomials

Hi, If $P_n(x)$ is unnormalized shifted Legendre polynomial, and $g_{n,m}(x) = \int_0^x P_n(x_1)x_1^m dx_1, n>m$ then what is the upper bound $|g_{n,m} (x)|_{max} , x\in (0,1)$ as a function ...
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### An upper bound on a simple sum

Hi, I am trying to put a bound on a sum. Given $\omega=\exp(2\pi i/3)$ and $n$ positive real numbers $0=\tau_0 < \tau_1 < \tau_2 < ...\tau_{n-1}< \tau_n=1$ such that ...
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### Problem with making an estimate when values of many variables are unknown?

Hi all, I was wondering whether you could help me understand a part in a proof that is assumed to be an "obvious detail" by the author, but that I can't wrap my head around. Essentially, as far as I ...
1answer
710 views