Convexity when First Derivative is a Constant
101690
Is linear function convex or concave?
115635
Differentiability of antiderivative and continuity of derivative
92029
Is this rational function convex?
150727
Characterization convex function.
129765
Mean value theorem for the second derivative, when the first derivative is zero at endpoints
66151
Solving inequality for convex functions.
85153
Show that $f(x) = -\ln(x)$ is convex (WITHOUT using second derivative!)
51391
Bounded derivative implies Lipschitz
57514
The Minkowski sum of two convex sets is convex
16943
Midpoint-Convex and Continuous Implies Convex
122300
Maximizing a quadratic function subject to $\| x \|_2 \le 1$
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
113888
Behavior of derivative near the zero of a function.
48490
Examples of $f$ strictly convex, either with one minimizer or with no minimizer.
18763
injective holomorphic function on a convex set
25017
Why is every $p$-norm convex?
155415
Minimax problem for optimization $\inf \sup \frac{x f(x)}{\int_0^1 f(t) dt}$