List questions from functional-inequalities

Published on 13 Mar 2026 - 1:16

384

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Difficult but Interesting Inequalities Problems

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153

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Upper bound for integral over boundary in terms of integral over interior

Published on 13 Mar 2026 - 0:13

8.3k

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Inequality between $L^2$- and $L^1$-norms for functions

Published on 13 Mar 2026 - 0:45

98

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Proving inequality $(x^2+y^2)(y-1)+yx-y^2<0$

Published on 13 Mar 2026 - 7:04

319

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How prove this function inequality $xf(x)>\frac{1}{x}f\left(\frac{1}{x}\right)$

Published on 13 Mar 2026 - 9:42

51

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Simplifying Inequality Involving $\sigma$, $\beta$ and $x$

Published on 13 Mar 2026 - 14:59

95

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Derivatives of functions satisfying Euler-ish inequality $f(x+y)\le f(x)f(y)$.

Published on 08 Oct 2019 - 18:01

28

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System of multiple inequalities

Published on 14 Oct 2019 - 7:34

66

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Find function $f$ such that $(x-y)(f'(x)-g'(y)) \geq 0$

Published on 22 Oct 2019 - 15:00

695

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An olympiad-like inequality

Published on 24 Oct 2019 - 13:29

86

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Proof of a functional inequality

Published on 27 Oct 2019 - 5:35

57

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A functional inequality involving maximum and minimum

Published on 22 Nov 2019 - 8:00

105

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Existence theorems for self adjoint elliptic systems

Published on 24 Nov 2019 - 23:53

43

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Weakly equal functions and its decomposition

Published on 03 Dec 2019 - 20:01

List Question

Does any one-to-one function exist that satisfies this inequality for all real numbers?

Difficult but Interesting Inequalities Problems

Upper bound for integral over boundary in terms of integral over interior

Inequality between $L^2$- and $L^1$-norms for functions

Proving inequality $(x^2+y^2)(y-1)+yx-y^2<0$

How prove this function inequality $xf(x)>\frac{1}{x}f\left(\frac{1}{x}\right)$

Simplifying Inequality Involving $\sigma$, $\beta$ and $x$

Derivatives of functions satisfying Euler-ish inequality $f(x+y)\le f(x)f(y)$.

System of multiple inequalities

Find function $f$ such that $(x-y)(f'(x)-g'(y)) \geq 0$

An olympiad-like inequality

Proof of a functional inequality

A functional inequality involving maximum and minimum

Existence theorems for self adjoint elliptic systems

Weakly equal functions and its decomposition

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