List questions from integral-inequality

Published on 12 Jun 2019 - 16:48

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Proof of Hardy Integral Inequality in N Dimensions

Published on 23 Jun 2019 - 9:57

85

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An integral inequality for a real-valued differentiable monotone function on $[0,1]$

Published on 23 Jun 2019 - 21:51

91

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Inequality of integral : $\int_0^{1}((\sqrt{3}f(x))^{2}-2(f(x)^{3})dx≤1$

Published on 25 Mar 2026 - 8:13

47

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Understanding theorem concerning stability of ordinary differential equations

Published on 01 Jul 2019 - 11:21

204

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p-norm inequality for two random variables

Published on 25 Mar 2026 - 1:33

564

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Is this function decreasing in $x$?

Published on 07 Jul 2019 - 13:00

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If $u\left(x\right)\leq c+\int_{0}^{x}u\left(t\right)v\left(t\right)dt$ then $u\left(x\right)\leq c\exp\left(\int_{0}^{x}v\left(t\right)dt\right).$

Published on 09 Jul 2019 - 13:45

107

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Prove: Error of Riemann Sum is Decreasing for a Particular Function

Published on 13 Jul 2019 - 5:13

112

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Let $g$ be a differentiable, continuous function $[0,1]$ and $a≤g'(x)≤b$ for all $x\in [0,1]$

Published on 25 Mar 2026 - 9:48

100

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How to prove the following inequalities.

Published on 23 Jul 2019 - 2:46

61

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Find $\vert \vert T_{k} \vert \vert$ where $T_{k}f(s)=\int_{0}^{1}k(s,t)f(t)dt$

Published on 23 Jul 2019 - 21:44

61

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Inequality involving integration on the unit square

Published on 01 Aug 2019 - 5:55

306

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Show that $\int_0^af(x)\,dx + \int_0^bf^{-1}(x)\,dx \geq ab\; \forall a,b \in \mathbb{R}^+.$

Published on 07 Aug 2019 - 16:56

215

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Under what conditions do we have $\int_{0}^{\infty} |f(x)|^2 dx \leq C \int_{0}^{\infty} x^2 |f^{\prime}(x)|^2 dx$?

Published on 20 Aug 2019 - 9:11

List Question

Integral inequality with some parameters

Proof of Hardy Integral Inequality in N Dimensions

An integral inequality for a real-valued differentiable monotone function on $[0,1]$

Inequality of integral : $\int_0^{1}((\sqrt{3}f(x))^{2}-2(f(x)^{3})dx≤1$

Understanding theorem concerning stability of ordinary differential equations

p-norm inequality for two random variables

Is this function decreasing in $x$?

If $u\left(x\right)\leq c+\int_{0}^{x}u\left(t\right)v\left(t\right)dt$ then $u\left(x\right)\leq c\exp\left(\int_{0}^{x}v\left(t\right)dt\right).$

Prove: Error of Riemann Sum is Decreasing for a Particular Function

Let $g$ be a differentiable, continuous function $[0,1]$ and $a≤g'(x)≤b$ for all $x\in [0,1]$

How to prove the following inequalities.

Find $\vert \vert T_{k} \vert \vert$ where $T_{k}f(s)=\int_{0}^{1}k(s,t)f(t)dt$

Inequality involving integration on the unit square

Show that $\int_0^af(x)\,dx + \int_0^bf^{-1}(x)\,dx \geq ab\; \forall a,b \in \mathbb{R}^+.$

Under what conditions do we have $\int_{0}^{\infty} |f(x)|^2 dx \leq C \int_{0}^{\infty} x^2 |f^{\prime}(x)|^2 dx$?

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