List questions from functional-inequalities

Published on 17 Mar 2026 - 9:20

152

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Increasing function $f(x,y,y)=f(x,x,y)$ implies $f(x,y,z)=g(x,z)$?

Published on 17 Mar 2026 - 5:23

119

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An inequality considering linear ODE

Published on 17 Mar 2026 - 1:41

92

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Functional Inequality. Is my approach ok?

Published on 16 Mar 2026 - 16:39

45

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Function satisfying $\alpha x(2-x) + (1-\alpha x)g(x) < g(x-\alpha x)$ for all $0\leq x \leq 1$ and $0\leq \alpha <1$.

Published on 17 Mar 2026 - 3:39

28

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Do injection preserves inequalities?

Published on 17 Mar 2026 - 14:32

71

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Proof of inequality $x + x^{-1} - x^r - x^{-r} \geq 0$ for $x>0$ and $0<r<1$.

Published on 17 Mar 2026 - 4:44

132

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Popoviciu's inequality

Published on 16 Mar 2026 - 20:45

57

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Bellman-like integral inequality

Published on 17 Mar 2026 - 6:24

51

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Appropriate exponent for inequality

Published on 16 Mar 2026 - 19:52

110

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A question about the changes of $f$ when an inequality between $f(x,y)$ and $g(x,y)$ is satisfied

Published on 17 Mar 2026 - 15:28

76

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Prove that $(\frac{\sin x}{x})^3\geq{\cos x}$ with $x\in [0,\, \frac{\pi}{2}]$

Published on 16 Mar 2026 - 22:00

93

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Integral inequality involving polynomial

Published on 16 Mar 2026 - 22:05

98

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How to prove the Poincaré inequality by induction on the dimension?

Published on 16 Mar 2026 - 21:40

352

Views

a functional inequality (positive functions on circle)

Published on 17 Mar 2026 - 9:36

List Question

Proving or disproving the functional inequality

Increasing function $f(x,y,y)=f(x,x,y)$ implies $f(x,y,z)=g(x,z)$?

An inequality considering linear ODE

Functional Inequality. Is my approach ok?

Function satisfying $\alpha x(2-x) + (1-\alpha x)g(x) < g(x-\alpha x)$ for all $0\leq x \leq 1$ and $0\leq \alpha <1$.

Do injection preserves inequalities?

Proof of inequality $x + x^{-1} - x^r - x^{-r} \geq 0$ for $x>0$ and $0<r<1$.

Popoviciu's inequality

Bellman-like integral inequality

Appropriate exponent for inequality

A question about the changes of $f$ when an inequality between $f(x,y)$ and $g(x,y)$ is satisfied

Prove that $(\frac{\sin x}{x})^3\geq{\cos x}$ with $x\in [0,\, \frac{\pi}{2}]$

Integral inequality involving polynomial

How to prove the Poincaré inequality by induction on the dimension?

a functional inequality (positive functions on circle)

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