List questions from functional-inequalities

Published on 23 Feb 2026 - 6:54

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From pointwise inequality to the inequality in the sense of distribution

Published on 23 Mar 2026 - 8:38

50

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Find all possible values of $H(x,y,z,t) = \frac{x}{t+x+y}+\frac{y}{x+y+z}+\frac{z}{y+z+t}+\frac{t}{z+t+x}$ if $x, y, z, t > 0$.

Published on 22 Mar 2026 - 18:49

47

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$L^2$ norm of $f(x) - f(y)$

Published on 23 Mar 2026 - 15:02

239

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Prove $f\left(nx\right)\leq nf\left(x\right).$

Published on 22 Mar 2026 - 18:17

82

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Is this following inequality with increasing powers of the components true for small $x$? And if yes, what's the positive constant $C?$

Published on 23 Mar 2026 - 12:37

18

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Is there a convex difference estimate which depends only on non-matching components?

Published on 23 Mar 2026 - 12:36

57

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Find functions $f(x)$ and $g(x)$ such that the following conditions are satisfied for all $x > 0$:

Published on 23 Mar 2026 - 13:45

45

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Prove that one function is larger than another

Published on 23 Mar 2026 - 11:52

82

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Some inequality I stumbled upon, $b^3-a^2b+2a \geq 0$

Published on 22 Mar 2026 - 19:34

124

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Functional Calculus Inequality?

Published on 22 Mar 2026 - 19:58

187

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A challenging problem in ODEs

Published on 22 Mar 2026 - 16:49

77

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What functions satisfy $f(ax) - f(a(x-1)) > f(b(x+1)) - f(bx)$ for all $a, b \in \mathbb{R}^+$ and $x \in \mathbb{Z}^+$.?

Published on 22 Mar 2026 - 17:21

68

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(Dis)prove a statement similar to Bessaga fixed point theorem

Published on 22 Mar 2026 - 17:00

81

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Dense subset of $GL(n)$ and existence of elements with some properties.

Published on 25 Mar 2026 - 22:04

List Question

A possible upper bound for a function that satisfies a singular integral inequality

From pointwise inequality to the inequality in the sense of distribution

Find all possible values of $H(x,y,z,t) = \frac{x}{t+x+y}+\frac{y}{x+y+z}+\frac{z}{y+z+t}+\frac{t}{z+t+x}$ if $x, y, z, t > 0$.

$L^2$ norm of $f(x) - f(y)$

Prove $f\left(nx\right)\leq nf\left(x\right).$

Is this following inequality with increasing powers of the components true for small $x$? And if yes, what's the positive constant $C?$

Is there a convex difference estimate which depends only on non-matching components?

Find functions $f(x)$ and $g(x)$ such that the following conditions are satisfied for all $x > 0$:

Prove that one function is larger than another

Some inequality I stumbled upon, $b^3-a^2b+2a \geq 0$

Functional Calculus Inequality?

A challenging problem in ODEs

What functions satisfy $f(ax) - f(a(x-1)) > f(b(x+1)) - f(bx)$ for all $a, b \in \mathbb{R}^+$ and $x \in \mathbb{Z}^+$.?

(Dis)prove a statement similar to Bessaga fixed point theorem

Dense subset of $GL(n)$ and existence of elements with some properties.

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