Conditions for quasi-concavity of a convex combination of quasi-concave functions
113594
Convex combination of quasiconvex functions.
82198
Proving Convexity of Multivariate Function using Conditional Univariate Convexity
140083
Some questions about functions of bounded variation: Jordan's theorem
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
58988
Composition of convex function and affine function
93576
Convex combination of extreme points
153646
Convex combination of cumulative distribution functions
76209
Inequalities for combinations of $\int f $ and $\int (1/f)$ where $m\le f\le M$ on an interval
49783
A possible inequality related to binomial theorem (or, convex/concave functions)
138457
Seminorms: Absolute Convexity
20614
Example of a function such that $\varphi\left(\frac{x+y}{2}\right)\leq \frac{\varphi(x)+\varphi(y)}{2}$ but $\varphi$ is not convex
97584
How to prove this property using convexity?
77217
Proof that a coordinate-wise convex function is convex?
35857
Characterization of log-convexity
138959
On the equality case of the Hölder and Minkowski inequalities
72033
Is this proof sufficient to show that a concave function of a metric is also a metric?
150609
Triangle Inequality of the Cartesian product with Max function