List questions from functional-inequalities

Published on 29 Apr 2026 - 12:15

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Separation of variables and inequality

Published on 29 Apr 2026 - 12:15

78

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inequality involving hypergeometric function

Published on 29 Apr 2026 - 12:05

90

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Find $g(2002)$ given $f(1)$ and two inequalities

Published on 29 Apr 2026 - 12:15

61

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Schwartz inequality for $|\int_{0}^\infty \frac{x^{3/2}}{1+ix}e^{-x} dx|$

Published on 29 Apr 2026 - 12:15

51

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Functions less that $N-N^\theta$ for all $\theta<1$

Published on 29 Apr 2026 - 12:15

96

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Find all the functions such that $ g ( x ^ m y ^ n ) \le g ( x ) ^ { \frac { a ^ 2 } m } g ( y ) ^ { \frac { b ^ 2 } n } $

Published on 29 Apr 2026 - 12:15

89

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Prove $\int_{0}^1 f(x^2)\,\mathrm{d}x \le f\left(\frac{1}{3}\right)$ an unspecified $f$

Published on 29 Apr 2026 - 12:15

103

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$L^2$ convergence and pointwise-norm

Published on 29 Apr 2026 - 12:15

393

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Russian MO 2004 $\sqrt{a} + \sqrt{b} + \sqrt{c} \geq ab + bc + ca$

Published on 03 May 2026 - 7:13

142

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Function with Weird Property!

Published on 29 Apr 2026 - 12:15

94

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Deriving a particular Poincare equality by a lemma

Published on 29 Apr 2026 - 17:59

109

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Convexity of this function, the ordinary definition of convex functions took me a lot of time!

Published on 10 May 2026 - 11:42

87

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Is this inequality in $L^2$ true?

Published on 10 May 2026 - 11:40

230

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Optimal constant for a functional inequality

Published on 10 May 2026 - 11:38

List Question

Ideas to prove an inequality

Separation of variables and inequality

inequality involving hypergeometric function

Find $g(2002)$ given $f(1)$ and two inequalities

Schwartz inequality for $|\int_{0}^\infty \frac{x^{3/2}}{1+ix}e^{-x} dx|$

Functions less that $N-N^\theta$ for all $\theta<1$

Find all the functions such that $ g ( x ^ m y ^ n ) \le g ( x ) ^ { \frac { a ^ 2 } m } g ( y ) ^ { \frac { b ^ 2 } n } $

Prove $\int_{0}^1 f(x^2)\,\mathrm{d}x \le f\left(\frac{1}{3}\right)$ an unspecified $f$

$L^2$ convergence and pointwise-norm

Russian MO 2004 $\sqrt{a} + \sqrt{b} + \sqrt{c} \geq ab + bc + ca$

Function with Weird Property!

Deriving a particular Poincare equality by a lemma

Convexity of this function, the ordinary definition of convex functions took me a lot of time!

Is this inequality in $L^2$ true?

Optimal constant for a functional inequality

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