List questions from functional-inequalities

Published on 23 Dec 2017 - 16:25

85

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Proving $\left[\frac{\left[x\right]}{n}\right]=\left[\frac{x}{n}\right]$

Published on 05 Jan 2018 - 17:12

880

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Cauchy-Schwartz inequality in a convolution

Published on 05 Jan 2018 - 17:37

549

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Find all function satisfying a given inequality

Published on 08 Jan 2018 - 13:42

110

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A Refinement of Hermite-Hadamard Integral inequalities

Published on 08 Jan 2018 - 17:07

1.3k

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Limit of a function satisfying an inequality

Published on 21 Jan 2012 - 5:52

206

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The geometry of functions $\mathbb{R}^2\rightarrow \mathbb{R}$ that satisfy the norm axioms

Published on 29 May 2012 - 16:47

114

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Geometric intuition for the inequality $(f(y) - c) ( y - d ) \geq (f(d) - c) ( f^{-1}(c) - d )$

Published on 03 Aug 2012 - 7:25

78

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An estimate of $C^2$

Published on 19 Sep 2012 - 10:57

104

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Counting $2010^2$-tuples

Published on 03 Oct 2012 - 11:21

101

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Uniform Poincaré-Wirtinger constant for diffeomorphic domains?

Published on 15 Oct 2012 - 9:39

544

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Prove that $\int_0^1|f''(x)|dx\ge4.$

Published on 23 Oct 2012 - 2:50

272

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Show that $\int_0^1f(x)^3dx\le\left(\int_0^1f(x)dx\right)^2$

Published on 23 Oct 2012 - 3:37

1.7k

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If $f(x)\leq f(f(x))$ for all $x$, is $x\leq f(x)$?

Published on 04 Nov 2012 - 6:45

375

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An application of Poincare inequality [solved]

Published on 12 Nov 2012 - 0:25

List Question

Does there exist a bounded real function with some property?

Proving $\left[\frac{\left[x\right]}{n}\right]=\left[\frac{x}{n}\right]$

Cauchy-Schwartz inequality in a convolution

Find all function satisfying a given inequality

A Refinement of Hermite-Hadamard Integral inequalities

Limit of a function satisfying an inequality

The geometry of functions $\mathbb{R}^2\rightarrow \mathbb{R}$ that satisfy the norm axioms

Geometric intuition for the inequality $(f(y) - c) ( y - d ) \geq (f(d) - c) ( f^{-1}(c) - d )$

An estimate of $C^2$

Counting $2010^2$-tuples

Uniform Poincaré-Wirtinger constant for diffeomorphic domains?

Prove that $\int_0^1|f''(x)|dx\ge4.$

Show that $\int_0^1f(x)^3dx\le\left(\int_0^1f(x)dx\right)^2$

If $f(x)\leq f(f(x))$ for all $x$, is $x\leq f(x)$?

An application of Poincare inequality [solved]

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