List questions from integral-inequality

Published on 09 Apr 2026 - 7:32

532

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

Published on 15 Apr 2026 - 19:59

1.7k

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

Published on 12 Apr 2026 - 23:20

47

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Show something converge to infinity strongly

Published on 10 Apr 2026 - 19:10

1.4k

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Please explain about Chebyshev's inequality?

Published on 14 Apr 2026 - 7:37

145

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Integral Inequality calculating operator norm

Published on 09 Apr 2026 - 3:39

194

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

Published on 15 Apr 2026 - 21:28

206

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Prove this integral inequality

Published on 15 Apr 2026 - 2:49

326

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

Published on 14 Apr 2026 - 8:17

57

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Validity of inequalities using integrals and absolute value

Published on 28 Mar 2026 - 11:42

148

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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 17 Apr 2026 - 10:21

128

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

Published on 15 Apr 2026 - 10:11

482

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

Published on 28 Mar 2026 - 11:35

919

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Young's inequality.

Published on 26 Apr 2026 - 10:14

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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