Hardy’s inequality. Exercise 3.14 from Rudin’s RACA.
49916
Computing the best constant in classical Hardy's inequality
106373
Hölder's inequality with three functions
56818
Prove that if $A$ is positive, then $\exists\;\alpha>0$ such that $\langle Ax, x \rangle\geq \alpha|x|^2$ for $x\in\Bbb{R}^n$
63124
Show that $ \lVert A \rVert_2^2 \leq \lVert A \rVert _1 \lVert A \rVert _ \infty $
51267
Showing a generalized version of the Hölder inequality for $L^{p}$ spaces
128558
Inequality between $\ell^p$-norms
153538
Proving Holder's inequality using Jensen's inequality
123005
$L^p$ Spaces, Young's Theorem, Convolutions, and Minkowski's Inequality
53112
Proving using AM-GM inequality
128189
Proving Integral Inequality
33617
Prove the inequality involving multiple integrals
115335
How can we prove this integral inequality?
88687
Proof of the inequality $||a+b|^p - |a|^p| \leq \epsilon |a|^p + C_{\epsilon} |b|^p$
100608
Prove that $\|v\|_{H^1(\Omega )}\leq C(\|f\|_{L^2(\Omega )}+\|v\|_{H^{1/2}(\partial \Omega )}+\|\partial _\nu v\|_{H^{1/2}(\partial \Omega )}))$
36374
Exercise 1.6.3 from Alon & Spencer's *The Probabilistic Method*: prove that $Pr[|X-Y| \leq 2] \leq 3 Pr[|X-Y| \leq 1]$ for i.i.d. real RVs $X$ and $Y$
93599
General Proof for the triangle inequality
115464
Inequality involving inner product and norm