List questions from absolute-value

39

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A couple of questions about $\int_{ }^{ }\frac{\left|f\left(x\right)\right|}{f\left(x\right)}g\left(x\right)dx$ type integrals.

Published on 09 Apr 2021 - 8:53

40

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Proving an inequality absolute value

Published on 23 Feb 2026 - 22:25

217

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Can you prove the definition of absolute value from the properties (over the reals) $|x|\geq 0$, $|x||y| = |xy|$, $|x+y| \leq |x|+|y|$?

Published on 11 Apr 2021 - 7:56

85

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Norm ideal and absolute value

Published on 08 Apr 2026 - 23:42

76

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Equation with Absolute Value Functions in the Powers

Published on 16 Apr 2021 - 18:23

908

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L1 Norm Optimization Solution

Published on 08 Apr 2026 - 10:23

59

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What does this notation mean: $\|\cdot \|_F$

Published on 19 Apr 2021 - 17:19

419

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Splitting up integral when there is an absolute value

Published on 20 Apr 2021 - 7:17

24

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Integral of logarithm times its derivative

Published on 22 Apr 2021 - 12:03

117

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Prove that $M_{|f|}-m_{|f|} \le M_f-m_f$

Published on 08 Apr 2026 - 7:56

351

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Prove: If $f$ is integrable, than $|f|$ is integrable

Published on 08 Apr 2026 - 7:55

149

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Is the complex absolute value function real differentiable?

Published on 23 Apr 2021 - 9:05

33

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What does the absolute valued expression actually mean according to this?

Published on 24 Apr 2021 - 17:55

267

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Absolute value and square root in inequalities

Published on 25 Apr 2021 - 13:18

55

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Improper integral $\int_{\frac{3}{2}}^\infty\frac{\log{(1+\frac{1}{x}})}{|x-2|^{\alpha+2}}\, dx$, problem with absolute value

Published on 26 Apr 2021 - 8:23

List Question

A couple of questions about $\int_{ }^{ }\frac{\left|f\left(x\right)\right|}{f\left(x\right)}g\left(x\right)dx$ type integrals.

Proving an inequality absolute value

Can you prove the definition of absolute value from the properties (over the reals) $|x|\geq 0$, $|x||y| = |xy|$, $|x+y| \leq |x|+|y|$?

Norm ideal and absolute value

Equation with Absolute Value Functions in the Powers

L1 Norm Optimization Solution

What does this notation mean: $\|\cdot \|_F$

Splitting up integral when there is an absolute value

Integral of logarithm times its derivative

Prove that $M_{|f|}-m_{|f|} \le M_f-m_f$

Prove: If $f$ is integrable, than $|f|$ is integrable

Is the complex absolute value function real differentiable?

What does the absolute valued expression actually mean according to this?

Absolute value and square root in inequalities

Improper integral $\int_{\frac{3}{2}}^\infty\frac{\log{(1+\frac{1}{x}})}{|x-2|^{\alpha+2}}\, dx$, problem with absolute value

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