List questions from integral-inequality

Published on 24 Aug 2023 - 8:57

32

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Commutator estimate (PDE)

Published on 25 Mar 2026 - 9:24

63

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Relation of $L^1$ and "$L^{1/2}$"

Published on 29 Aug 2023 - 16:04

179

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Computable counterexample of an integral inequality

Published on 31 Aug 2023 - 13:05

91

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A strict triangle Inequality $\left| \int_a^b f(t) dt\right| < \int_a^b |f(t)|dt$ for Integrals

Published on 03 Sep 2023 - 11:15

71

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Inverse inequality

Published on 07 Sep 2023 - 4:47

60

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estimating expression

Published on 18 Sep 2023 - 9:42

33

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Comparing two different weighted averages of a function.

Published on 19 Sep 2023 - 12:03

177

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Integral inequality from AMM 1992

Published on 27 Sep 2023 - 20:12

39

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Prove that $\left(\int_0^1 f(x)dx\right)^2\leq\frac{1}{12}\int_0^1\left(f'(x)\right)^2dx$

Published on 01 Oct 2023 - 9:19

94

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How to estimate $\int_0^{L/2} f(x)dx$ from $f(x)\ge 2x-\frac{L}{D} \int_0^x f(t)dt$

Published on 24 Oct 2023 - 4:36

33

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Example that the Poincare inequality fails for higher exponent

Published on 24 Oct 2023 - 11:16

40

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How to prove this integral inequality $\int_{ - 1}^1 {{{\left| {g\left( s \right)} \right|}^2}ds}$

Published on 04 Nov 2023 - 15:02

48

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A possible upper bound for a function that satisfies a singular integral inequality

Published on 23 Feb 2026 - 6:54

113

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weakened $L^p$ interpolation using the Fourier transform?

Published on 20 Dec 2023 - 21:18

List Question

$L^1$ norm and an integral inequality

Commutator estimate (PDE)

Relation of $L^1$ and "$L^{1/2}$"

Computable counterexample of an integral inequality

A strict triangle Inequality $\left| \int_a^b f(t) dt\right| < \int_a^b |f(t)|dt$ for Integrals

Inverse inequality

estimating expression

Comparing two different weighted averages of a function.

Integral inequality from AMM 1992

Prove that $\left(\int_0^1 f(x)dx\right)^2\leq\frac{1}{12}\int_0^1\left(f'(x)\right)^2dx$

How to estimate $\int_0^{L/2} f(x)dx$ from $f(x)\ge 2x-\frac{L}{D} \int_0^x f(t)dt$

Example that the Poincare inequality fails for higher exponent

How to prove this integral inequality $\int_{ - 1}^1 {{{\left| {g\left( s \right)} \right|}^2}ds}$

A possible upper bound for a function that satisfies a singular integral inequality

weakened $L^p$ interpolation using the Fourier transform?

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