List questions from integral-inequality

Published on 14 Dec 2015 - 22:27

529

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Prove that $\int_a^bxf(x)dx\geq\frac{b+a}{2}\int_a^bf(x)dx$

Published on 15 Dec 2015 - 4:57

1.7k

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A function of two cumulative probability distributions with same first 2 moments

Published on 15 Dec 2015 - 13:10

45

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Show something converge to infinity strongly

Published on 26 Mar 2026 - 17:35

1.4k

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Please explain about Chebyshev's inequality?

Published on 18 Dec 2015 - 6:51

142

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Integral Inequality calculating operator norm

Published on 21 Dec 2015 - 3:41

191

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Deceptively simple inequality involving expectations of products of functions of just one variable

Published on 22 Dec 2015 - 2:41

203

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Prove this integral inequality

Published on 22 Dec 2015 - 18:56

324

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Given $Z_n\rightarrow 0$ in probability and $W$ a random variable, proving $WZ_n\rightarrow 0$

Published on 22 Dec 2015 - 20:33

56

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Validity of inequalities using integrals and absolute value

Published on 23 Dec 2015 - 5:21

145

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Evaluate $\int_0^n \frac{|\cos nx| }{2+x^2+\sqrt{|\cos nx|}} dx$ or find good upper bound.

Published on 24 Dec 2015 - 20:11

125

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Prove a function is in $L^2[0,1]$

Published on 26 Dec 2015 - 1:43

481

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A function given as an integral is uniformly continuous provided the integrand is uniformly continuous

Published on 26 Dec 2015 - 16:26

902

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Young's inequality.

Published on 26 Mar 2026 - 7:25

202

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Weak Law of large numbers involving a sequence and random variable

Published on 26 Mar 2026 - 19:17

List Question

Inequalities with the Integral Test

Prove that $\int_a^bxf(x)dx\geq\frac{b+a}{2}\int_a^bf(x)dx$

A function of two cumulative probability distributions with same first 2 moments

Show something converge to infinity strongly

Please explain about Chebyshev's inequality?

Integral Inequality calculating operator norm

Deceptively simple inequality involving expectations of products of functions of just one variable

Prove this integral inequality

Given $Z_n\rightarrow 0$ in probability and $W$ a random variable, proving $WZ_n\rightarrow 0$

Validity of inequalities using integrals and absolute value

Evaluate $\int_0^n \frac{|\cos nx| }{2+x^2+\sqrt{|\cos nx|}} dx$ or find good upper bound.

Prove a function is in $L^2[0,1]$

A function given as an integral is uniformly continuous provided the integrand is uniformly continuous

Young's inequality.

Weak Law of large numbers involving a sequence and random variable

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