An inequality involved $L_p $ functions
11983
Proof of Clarkson's Inequality
151400
Closed-form of $\int_0^1 \operatorname{Li}_p(x) \, dx$
106767
$|p(z)| \leq M$ for $|z| \leq 1$ Show that $|p(z)| \leq M|z|^n$ for $|z| \geq 1$
7974
lim sup inequality $\limsup ( a_n b_n ) \leq \limsup a_n \limsup b_n $
89555
Inequality for the p norm of a convolution
42366
Prove $\mathbb{P}(\sup_{t \geq 0} M_t > x \mid \mathcal{F}_0)= 1 \wedge \frac{M_0}{x}$ for a martingale $(M_t)_{t \geq 0}$
145884
Showing $\left|\frac{a+b}{2}\right|^p+\left|\frac{a-b}{2}\right|^p\leq\frac{1}{2}|a|^p+\frac{1}{2}|b|^p$
98662
$P(|X|\ge\lambda a)\ge (1-\lambda)^2a^2$ for $0\le \lambda \le 1$
39797
Convergence of integrals in $L^p$
80826
To prove $\left|\frac{p_n(z)}{q_m(z)}\right|\leq \frac{M}{|z|^{m-n}}$ for some $M>0$
93806
$\|f\|_{L^{p}}=\sup\left\{\int_{{\bf R}^{n}}|f(x)g(x)|~dx:\|g\|_{L^{q}}\le1\right\}$
41876
Finding an asymptotic for the sum $\sum_{p\leq x}p^m$
142785
How can I prove Holder inequality for $0<p<1$?
122326
Proving $|P(A\cap B)-P(A)P(B)|\leq \frac{1}4$
19078
Prove an interpolation inequality
138959
On the equality case of the Hölder and Minkowski inequalities
8503
Limit of $L^p$ norm when $p\to0$