List questions from integral-inequality

Published on 11 Apr 2026 - 1:15

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Proof of Hardy Integral Inequality in N Dimensions

Published on 11 Apr 2026 - 22:19

88

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

Published on 08 Apr 2026 - 22:27

94

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

Published on 10 May 2026 - 19:48

50

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Understanding theorem concerning stability of ordinary differential equations

Published on 10 Apr 2026 - 15:42

207

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p-norm inequality for two random variables

Published on 10 May 2026 - 17:59

567

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Is this function decreasing in $x$?

Published on 13 Apr 2026 - 21:40

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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 16 Apr 2026 - 15:57

110

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

Published on 12 Apr 2026 - 17:45

115

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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 10 May 2026 - 22:07

103

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How to prove the following inequalities.

Published on 11 Apr 2026 - 20:12

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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 17 Apr 2026 - 7:57

64

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Inequality involving integration on the unit square

Published on 15 Apr 2026 - 18:59

309

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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 16 Apr 2026 - 2:11

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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 16 Apr 2026 - 14:35

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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