Showing that $x \mapsto |x|^p$ is strictly mid-point convex for $2 \leq p < \infty$
14448
Elementary proof that $|x|^p$ is convex.
142740
If $\varphi \in E'$ and $A$ is convex and open then $\varphi (A)$ is an open interval
67900
Pointwise a.e. convergence and weak convergence in Lp
3273
Trouble in proving that $\|x\|_p = \max|x_j|$
53132
A convex subset of a set has 'smaller' boundary than the set?
15491
Prove that $f:\mathbb R^n\to\mathbb R$ is affine if and only if it is convex and concave
25738
Jensen's Inequality implies convexity?
46760
To show that $P(|X-Y| \leq 2) \leq 3P(|X-Y| \leq 1)$
45205
Showing that $\int_0^\infty x^{-x} \mathrm{d}x \leq 2$.
128975
Behavior of $\|f\|_p$ when $p$ is near the endpoint of $I$
6335
Proving that the set enclosed by an ellipse is convex
115272
Showing that projections $\mathbb{R}^2 \to \mathbb{R}$ are not closed
93576
Convex combination of extreme points
30423
interior points and convexity
95074
Separability of $l^{p}$ spaces
10383
The $ l^{\infty} $-norm is equal to the limit of the $ l^{p} $-norms.
15924
Convexity and strong lower semicontinuity imply weak lower semicontinuity