List questions from integral-inequality

Published on 28 Mar 2026 - 13:37

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Proving a Definite Integral Inequality without Geometrical Intuition

Published on 14 Apr 2026 - 14:42

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Prove that:$\int_a^bp(x)f(x)dx \int_a^bp(x)g(x)dx\leq\int_a^bp(x)dx\int_a^bp(x)f(x)g(x)dx$

Published on 17 Apr 2026 - 1:22

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$\mathbf{E}\left[\frac{(U_1+c)^2}{\max((U_1+c)^2, U_2^2)} \right] \ge \mathbf{E}\left[\frac{U_2^2}{\max((U_1+c)^2, U_2^2)} \right]$

Published on 16 Apr 2026 - 19:47

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Bounds on $f(k ;a,b) =\frac{ \int_0^\infty \cos(a x) e^{-x^k} \, dx}{ \int_0^\infty \cos(b x) e^{-x^k}\, dx}$

Published on 16 Apr 2026 - 5:37

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Absolutely continuous function inequality

Published on 12 Apr 2026 - 4:15

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Fourier cosine transforms of Schwartz functions and the Fejer-Riesz theorem

Published on 14 Apr 2026 - 6:48

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Is this function increasing?

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Prove $|\int_a^b$$f(x)dx| \leq \int_a^b$$|f(x)|dx$

Published on 17 Apr 2026 - 6:13

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An integral inequality related to Taylor expansion

Published on 09 Apr 2026 - 17:32

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Hilbert's Inequality

Published on 14 Apr 2026 - 6:59

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Inequality in Sobolev Space

Published on 11 Apr 2026 - 1:13

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Problem 9 - Chapter 5 - Evans' PDE (First Edition)

Published on 10 Apr 2026 - 18:57

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Show inequality of integrals (cauchy-schwarz??)

Published on 15 Apr 2026 - 4:09

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How prove $\int_{0}^{1}F(x)dx\le \int_{0}^{a}G(x)dx$

Published on 16 Apr 2026 - 18:20

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Integral and differential inequality

Proving a Definite Integral Inequality without Geometrical Intuition

Prove that:$\int_a^bp(x)f(x)dx \int_a^bp(x)g(x)dx\leq\int_a^bp(x)dx\int_a^bp(x)f(x)g(x)dx$

$\mathbf{E}\left[\frac{(U_1+c)^2}{\max((U_1+c)^2, U_2^2)} \right] \ge \mathbf{E}\left[\frac{U_2^2}{\max((U_1+c)^2, U_2^2)} \right]$

Bounds on $f(k ;a,b) =\frac{ \int_0^\infty \cos(a x) e^{-x^k} \, dx}{ \int_0^\infty \cos(b x) e^{-x^k}\, dx}$

Absolutely continuous function inequality

Fourier cosine transforms of Schwartz functions and the Fejer-Riesz theorem

Is this function increasing?

Prove $|\int_a^b$$f(x)dx| \leq \int_a^b$$|f(x)|dx$

An integral inequality related to Taylor expansion

Hilbert's Inequality

Inequality in Sobolev Space

Problem 9 - Chapter 5 - Evans' PDE (First Edition)

Show inequality of integrals (cauchy-schwarz??)

How prove $\int_{0}^{1}F(x)dx\le \int_{0}^{a}G(x)dx$

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