List questions from integral-inequality

Published on 15 Apr 2026 - 23:47

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Issue with proof in Folland's 'Real Analysis' (Theorem 6.18)

Published on 10 Apr 2026 - 14:10

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For $0<a<b$ and $n>0$, show that $\left|\int_{a}^b \frac{\cos x}{x^n}\,dx\right|\leq \frac{2}{a^n}.$

Published on 17 Apr 2026 - 12:31

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Prove that $\| u\|_{L^2(0,1)}\leq\frac 1 \pi \| u'\|_{L^2(0,1)}$.

Published on 17 Apr 2026 - 10:20

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How did this integral inequality come to be?

Published on 11 Apr 2026 - 13:48

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Understanding the proof of Holder's inequality(integral version)

Published on 09 Apr 2026 - 0:34

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A variant of Cauchy-Schwarz Inequality for integral

Published on 12 Apr 2026 - 2:46

70

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Integral inequality $I_2(z) = \mathcal{O}\left(\frac{1}{(1+z)^2}\right)$

Published on 14 Apr 2026 - 17:17

147

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Upper Bound Product of Integrals

Published on 15 Apr 2026 - 6:48

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Energy bound for a closed curve

Published on 15 Apr 2026 - 9:02

170

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Does the $\log$-$\exp$ analogous of Minkowski integral inequality hold true?

Published on 10 May 2026 - 21:59

64

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Boundedness of integral operator induced by kernel $K(x,y) := \frac{1}{x+y}$.

Published on 11 May 2026 - 1:48

128

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Show that an integral is more than $\frac{\left(\frac{\pi}{2}\right)^{r+1}}{r+2}$

Published on 11 Apr 2026 - 3:06

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if $f'(x)<2f(x)$ and $f(\frac{1}{2})=1$ find the interval in which $\int_{\frac{1}{2}}^1 f(x)dx$ lies

Published on 17 Apr 2026 - 1:03

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Upper-bound on energy of nonlinear boundary value problem (Hard!)

Published on 13 Apr 2026 - 2:22

List Question

Given $f>0$ can we find $g$ such that $\int g>0$ but $\int fg\le 0$

Issue with proof in Folland's 'Real Analysis' (Theorem 6.18)

For $0<a<b$ and $n>0$, show that $\left|\int_{a}^b \frac{\cos x}{x^n}\,dx\right|\leq \frac{2}{a^n}.$

Prove that $\| u\|_{L^2(0,1)}\leq\frac 1 \pi \| u'\|_{L^2(0,1)}$.

How did this integral inequality come to be?

Understanding the proof of Holder's inequality(integral version)

A variant of Cauchy-Schwarz Inequality for integral

Integral inequality $I_2(z) = \mathcal{O}\left(\frac{1}{(1+z)^2}\right)$

Upper Bound Product of Integrals

Energy bound for a closed curve

Does the $\log$-$\exp$ analogous of Minkowski integral inequality hold true?

Boundedness of integral operator induced by kernel $K(x,y) := \frac{1}{x+y}$.

Show that an integral is more than $\frac{\left(\frac{\pi}{2}\right)^{r+1}}{r+2}$

if $f'(x)<2f(x)$ and $f(\frac{1}{2})=1$ find the interval in which $\int_{\frac{1}{2}}^1 f(x)dx$ lies

Upper-bound on energy of nonlinear boundary value problem (Hard!)

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