Mean value of a convex function
2848
Convex integral inequality
60887
$d_A(x) = \inf_{a \in A} \|x-a\|$ is convex if and only if $A$ is convex
142922
How to prove that $e^x$ is convex?
115495
Prove $\int _0^\infty f^2 dx \leq \cdots $ for $f$ convex
71619
Proving that a convex function is Lipschitz
35857
Characterization of log-convexity
150727
Characterization convex function.
19845
Mean Value Theorem for Integrals
36371
Exercise on convex functions
74608
Convex function as supremum of countably many affine functions
157960
How can I prove the existence of two values in a given domain Mean value theorem?
57514
The Minkowski sum of two convex sets is convex
86305
A secant inequality for convex functions
7437
Converse of mean value theorem
33731
Geometric mean of uniform variables
146519
gaussian and mean curvatures
67738
Mean Value theorem problem?(inequality)