List questions from functional-inequalities

Published on 22 Nov 2012 - 14:06

675

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An inequality about the gradient of a harmonic function

Published on 22 Nov 2012 - 15:22

149

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Inequality, with quotient substitution

Published on 04 Dec 2012 - 2:14

228

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Inequality for Gamma functions

Published on 11 Dec 2012 - 0:40

124

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Convex functions: bounding the difference

Published on 23 Dec 2012 - 1:15

128

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Are there (known) bounds to the following arithmetic / number-theoretic expression?

Published on 20 Feb 2013 - 12:54

71

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inequality for series

Published on 04 Mar 2013 - 2:16

423

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Modified Energy Method for Transformed Fokker-Planck Equation (Tricky Integration by parts...)

Published on 26 Mar 2026 - 17:52

33

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Can we find $f$ such that $|(x+x^{-1}) - (a+a^{-1})| < f(|x - a|)$

Published on 09 Aug 2020 - 15:33

217

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Finding the set of all possible values of a function similar to Nesbitt's Inequality

Published on 20 Aug 2020 - 4:44

91

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Given $a,b\in\{1,2,3,4,5,6,7,8,9,10\}$ and $b>\frac{a^4}{a^2+1}$, prove $b\geq a^2$

Published on 21 Aug 2020 - 3:48

261

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Determine all functions $f:\mathbb{R}\to\mathbb{R}$ such that $\alpha\,f(yz)+\beta\,f(zx)+\gamma\,f(xy)\geq f(x+y+z)$ for all $x,y,z\in\mathbb{R}$.

Published on 21 Aug 2020 - 22:11

67

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Can I claim that $f(x)$ must be necessarily positive in this inequality?

Published on 22 Aug 2020 - 11:39

43

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subhomogeneity of continuous subadditive functions

Published on 26 Aug 2020 - 6:26

107

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Find $f(a,b,c),g(a,b,c)\geqslant 0$ so that $7abc-\sum ab(a+b)= f ( a, b, c )+ ( \,a- b \, ) \cdot g ( a, b, c)$

Published on 07 Sep 2020 - 8:44

List Question

Harnack Inequality...

An inequality about the gradient of a harmonic function

Inequality, with quotient substitution

Inequality for Gamma functions

Convex functions: bounding the difference

Are there (known) bounds to the following arithmetic / number-theoretic expression?

inequality for series

Modified Energy Method for Transformed Fokker-Planck Equation (Tricky Integration by parts...)

Can we find $f$ such that $|(x+x^{-1}) - (a+a^{-1})| < f(|x - a|)$

Finding the set of all possible values of a function similar to Nesbitt's Inequality

Given $a,b\in\{1,2,3,4,5,6,7,8,9,10\}$ and $b>\frac{a^4}{a^2+1}$, prove $b\geq a^2$

Determine all functions $f:\mathbb{R}\to\mathbb{R}$ such that $\alpha\,f(yz)+\beta\,f(zx)+\gamma\,f(xy)\geq f(x+y+z)$ for all $x,y,z\in\mathbb{R}$.

Can I claim that $f(x)$ must be necessarily positive in this inequality?

subhomogeneity of continuous subadditive functions

Find $f(a,b,c),g(a,b,c)\geqslant 0$ so that $7abc-\sum ab(a+b)= f ( a, b, c )+ ( \,a- b \, ) \cdot g ( a, b, c)$

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