Two fundamental questions about convexity of a function (number2)
109097
Is there a unique saddle value for a convex/concave optimization?
16943
Midpoint-Convex and Continuous Implies Convex
52231
Prove or disprove {$\sum_{i=1}^n x_i^2 = 1$} is convex
84515
Is the product of strictly quasiconcave functions quasiconcave?
107894
Inequality involving the sup of a function and its first and second derivatives
115495
Prove $\int _0^\infty f^2 dx \leq \cdots $ for $f$ convex
142922
How to prove that $e^x$ is convex?
135867
$f(x)=x^3$ is convex nor concave without to derivate
18763
injective holomorphic function on a convex set
22294
Maximum and minimum value of $\int_0^1 f(x)dx $ given $|f'(x)|<2$
72659
How can we define convexity in one dimension?
144001
If $f$ is continuous and $\,f\big(\frac{1}2(x+y)\big) \le \frac{1}{2}\big(\,f(x)+f(y)\big)$, then $f$ is convex
61799
Prove that $\Vert f(b)-f(a)-f'(a)(b-a) \Vert\leq \sup_{x\in [a,b]} \Vert f''(x)\Vert\Vert b-a\Vert^2$
28155
Two questions about diagonalization
115814
If $\operatorname{Re}f^\prime > 0$ on a convex domain, then $f$ is one-to-one.
40403
Show that the function is convex
25017
Why is every $p$-norm convex?