List questions from integral-inequality

41

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Can we include inequalities while solving under determined simultaneous linear equation in reduced Echelon form?

Published on 12 Apr 2026 - 21:27

120

Views

If $f^2(t) \le 1+2\int_0^tf(s)\mathrm{d}s$ prove $f(t)\le 1+t$

Published on 16 Apr 2026 - 2:27

89

Views

If $f(a)=f(b)=0$ and $|f''(x)|\le M$ prove $|\int_a^bf(x)\mathrm{d}x| \le \frac{M}{12}(b-a)^3$

Published on 15 Apr 2026 - 18:48

23

Views

If a rotational family is close to a single rotation must its derivative be small?

Published on 13 Apr 2026 - 13:09

113

Views

Exponential decay and integration

Published on 11 Apr 2026 - 6:26

140

Views

Proving $\frac12 < \int_0^1 \frac1{\sqrt{4-x+x^3}} dx < \frac{ \pi }6$

Published on 16 Apr 2026 - 2:52

171

Views

Heisenberg’s inequality

Published on 14 Apr 2026 - 11:23

844

Views

Littlewood's inequality for $L^p$ spaces

Published on 16 Apr 2026 - 4:04

633

Views

Proof of maximal principle on Laplace Equation involving Poisson integral formula

Published on 10 May 2026 - 18:06

470

Views

$\int_a^bf^2(x)\,dx\le \frac{2}{3}\int_a^bf(x)\,dx$ for a convex differentiable function

Published on 15 Apr 2026 - 3:11

232

Views

Inequality for bounded locally integrable functions

Published on 10 Apr 2026 - 15:35

911

Views

Bounding integral of square root by square root of integral

Published on 10 May 2026 - 17:48

744

Views

Gagliardo-Nirenberg inequality for fractional Sobolev spaces

Published on 10 May 2026 - 16:14

177

Views

Integral inequality $\int_{0}^{1}|f(x)|dx \leq \int_{0}^{1}x|f'(x)|dx$

Published on 16 Apr 2026 - 13:14

56

Views

Integral inequality issue

Published on 30 Apr 2026 - 14:11

List Question

Can we include inequalities while solving under determined simultaneous linear equation in reduced Echelon form?

If $f^2(t) \le 1+2\int_0^tf(s)\mathrm{d}s$ prove $f(t)\le 1+t$

If $f(a)=f(b)=0$ and $|f''(x)|\le M$ prove $|\int_a^bf(x)\mathrm{d}x| \le \frac{M}{12}(b-a)^3$

If a rotational family is close to a single rotation must its derivative be small?

Exponential decay and integration

Proving $\frac12 < \int_0^1 \frac1{\sqrt{4-x+x^3}} dx < \frac{ \pi }6$

Heisenberg’s inequality

Littlewood's inequality for $L^p$ spaces

Proof of maximal principle on Laplace Equation involving Poisson integral formula

$\int_a^bf^2(x)\,dx\le \frac{2}{3}\int_a^bf(x)\,dx$ for a convex differentiable function

Inequality for bounded locally integrable functions

Bounding integral of square root by square root of integral

Gagliardo-Nirenberg inequality for fractional Sobolev spaces

Integral inequality $\int_{0}^{1}|f(x)|dx \leq \int_{0}^{1}x|f'(x)|dx$

Integral inequality issue

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