List questions from upper-lower-bounds

Published on 31 Mar 2026 - 4:28

216

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Upper bound for $\prod\limits_{k = 1}^{n}\left( 1 - x^{k+1}\right)$

Published on 04 Sep 2020 - 18:15

86

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Is the function $f(x,y)=\frac{x_1-y_1}{\|x-y\|}$ bounded?

Published on 04 Sep 2020 - 22:11

68

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Find condition on $a$ and $b$ such that $h(x) = \frac{x^2 - x +1}{x^2 + ax+(1-b^2)}$ is bounded

Published on 06 Sep 2020 - 9:49

58

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Prove that a determinant of a matrix is different than $1$

Published on 06 Sep 2020 - 19:47

172

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Definition of supremum

Published on 07 Sep 2020 - 14:07

151

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Find the upper bound of Square of Sum in fractional form?

Published on 27 Mar 2026 - 11:49

336

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Show that $\int_0^\pi\int_0^\pi\frac{\sin(x) \sin(px) \cos(qy)}{\sin(x)^2 + \sin(y)^2}\,dx\,dy$ tends to $0$ as $p\to\infty$ or $q\to\infty$

Published on 08 Sep 2020 - 21:27

407

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Properties of autocorrelation of a convolution

Published on 01 Apr 2026 - 18:48

114

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An inequality relating the deficiency and sum of aliquot divisors

Published on 28 Mar 2026 - 10:41

66

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Can we conclude $p_n < n^2$ from $\zeta(2)$ and Euler's prime theorem?

Published on 09 Sep 2020 - 23:36

328

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What is really meant by the Lower Bound on an Optimal Solution using Lagrangian Relaxation

Published on 11 Sep 2020 - 3:34

28

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Deducing properties of the $\ell_3$ norm from the $\ell_1$ and $\ell_2$ norms

Published on 12 Sep 2020 - 17:36

51

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alternative asymptotic bounds

Published on 13 Sep 2020 - 6:14

318

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Lower bound for Lambert $W$ function $W_0(x)$

Published on 28 Mar 2026 - 8:46

List Question

This finite sum involving roots of unity is bounded, but why?

Upper bound for $\prod\limits_{k = 1}^{n}\left( 1 - x^{k+1}\right)$

Is the function $f(x,y)=\frac{x_1-y_1}{\|x-y\|}$ bounded?

Find condition on $a$ and $b$ such that $h(x) = \frac{x^2 - x +1}{x^2 + ax+(1-b^2)}$ is bounded

Prove that a determinant of a matrix is different than $1$

Definition of supremum

Find the upper bound of Square of Sum in fractional form?

Show that $\int_0^\pi\int_0^\pi\frac{\sin(x) \sin(px) \cos(qy)}{\sin(x)^2 + \sin(y)^2}\,dx\,dy$ tends to $0$ as $p\to\infty$ or $q\to\infty$

Properties of autocorrelation of a convolution

An inequality relating the deficiency and sum of aliquot divisors

Can we conclude $p_n < n^2$ from $\zeta(2)$ and Euler's prime theorem?

What is really meant by the Lower Bound on an Optimal Solution using Lagrangian Relaxation

Deducing properties of the $\ell_3$ norm from the $\ell_1$ and $\ell_2$ norms

alternative asymptotic bounds

Lower bound for Lambert $W$ function $W_0(x)$

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