List questions from upper-lower-bounds

Published on 02 Jun 2020 - 18:20

56

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Taylor expansion upper bound

Published on 02 Jun 2020 - 23:49

60

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Bound of a complex integral with itself

Published on 30 Mar 2026 - 11:56

39

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Simple upper bound for $t(2\Phi(\alpha/t) - 1)$, where $\alpha > 0$ and $t \in (0, 1)$

Published on 23 Feb 2026 - 8:24

336

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What conditions guarantee that a function is bounded by these two "best-fit" parabolas?

Published on 26 Mar 2026 - 17:12

68

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Does this $\sum_{n=1}^{\infty}\frac{(-1)^n}{\sqrt {n+\sqrt{n+\sqrt{\cdots}}}+(-1)^n}$ converges ?and what about its bounds?

Published on 06 Jun 2020 - 1:26

70

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For which $\alpha,\beta \in (0,+\infty)$ does $\sum_n a_n$ converges where $a_n = \int_0^{\pi/2} (\sin(t))^{n^\beta (\ln n)^\alpha}dt$?

Published on 07 Jun 2020 - 9:27

102

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Is the function $f(x)=1/|x|$ bounded in the interval $(-\infty,c)$, if $c<0$?

Published on 23 Feb 2026 - 12:03

84

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Upper bound on a contour integral

Published on 07 Jun 2020 - 19:32

48

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Finding the proof of a bound on the roots of a polynomial

Published on 08 Jun 2020 - 6:26

262

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How to solve system of inequalities?

Published on 08 Jun 2020 - 15:49

128

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Upper bound and limit of $\frac{x^5}{\sqrt{(1+\frac{x^2}{2})^5}}$

Published on 08 Jun 2020 - 20:10

225

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Show that $\|A\|_{\infty} \leq \sqrt n \|A\|_2$

Published on 08 Jun 2020 - 22:52

62

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Smooth autoregressive model

Published on 23 Mar 2026 - 10:11

1.6k

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Is there an upper bound on the determinant of the sum of positive definite (or semidefinite) matrices?

Published on 10 Jun 2020 - 3:34

List Question

Does limit of $\tan(n !)-n!,n\to \infty$ exists ?And what is its upper bound?

Taylor expansion upper bound

Bound of a complex integral with itself

Simple upper bound for $t(2\Phi(\alpha/t) - 1)$, where $\alpha > 0$ and $t \in (0, 1)$

What conditions guarantee that a function is bounded by these two "best-fit" parabolas?

Does this $\sum_{n=1}^{\infty}\frac{(-1)^n}{\sqrt {n+\sqrt{n+\sqrt{\cdots}}}+(-1)^n}$ converges ?and what about its bounds?

For which $\alpha,\beta \in (0,+\infty)$ does $\sum_n a_n$ converges where $a_n = \int_0^{\pi/2} (\sin(t))^{n^\beta (\ln n)^\alpha}dt$?

Is the function $f(x)=1/|x|$ bounded in the interval $(-\infty,c)$, if $c<0$?

Upper bound on a contour integral

Finding the proof of a bound on the roots of a polynomial

How to solve system of inequalities?

Upper bound and limit of $\frac{x^5}{\sqrt{(1+\frac{x^2}{2})^5}}$

Show that $\|A\|_{\infty} \leq \sqrt n \|A\|_2$

Smooth autoregressive model

Is there an upper bound on the determinant of the sum of positive definite (or semidefinite) matrices?

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