How to prove the following inequality (with a introduced constant $\lambda$)?
101474
Markov/Chebychev inequality
116685
Reciprocal of Holder's inequality
150427
Inequality involving Euler-Mascheroni constant
30386
Showing the inequality $|\alpha + \beta|^p \leq 2^{p-1}(|\alpha|^p + |\beta|^p)$
140857
Using Bernoulli's Inequality to prove an inequality
88838
How can I prove this inequality for $n\geq 2$?
27347
Verify that $\left|\int_{\gamma} \exp(iz^2)dz\right| \leq \frac{\pi\big(1-\exp(-r^2)\big)}{4r}$ where $\gamma(t)=re^{it}$, for $0\leq t \leq \pi/4$.
90896
proof of inequality $e^x\le x+e^{x^2}$
40420
Proof by induction of Bernoulli's inequality: $(1 + x)^n \geq 1 + nx$
138959
On the equality case of the Hölder and Minkowski inequalities
3316
Prove QM-AM inequality
88687
Proof of the inequality $||a+b|^p - |a|^p| \leq \epsilon |a|^p + C_{\epsilon} |b|^p$
90199
Prove that there exists a constant $c>0$ such that the following happens
59624
Showing inequality for harmonic series.
115335
How can we prove this integral inequality?
126632
Proving Inequalities with Absolute values
77493
Classic $c_r$-inequality in $l_r$ space: $E(|X+Y|^r)\leq c_r[E(|X|^r)+E(|Y|^r)]$