mathematics, a real-valued function is called convex if the line segment between any two distinct points on the graph of the function lies above the graph between...

In mathematics, a function f is logarithmically convex or superconvex if log ∘ f {\displaystyle {\log }\circ f} , the composition of the logarithm with...

In mathematics, a quasiconvex function is a real-valued function defined on an interval or on a convex subset of a real vector space such that the inverse...

the function f {\displaystyle f} is closed. This definition is valid for any function, but most used for convex functions. A proper convex function is...

a concave function is one for which the value at any convex combination of elements in the domain is greater than or equal to the convex combination...

In mathematics, a Schur-convex function, also known as S-convex, isotonic function and order-preserving function is a function f : R d → R {\displaystyle...

particular the subfields of convex analysis and optimization, a proper convex function is an extended real-valued convex function with a non-empty domain...

the function) is a convex set. Convex minimization is a subfield of optimization that studies the problem of minimizing convex functions over convex sets...

optimization, the convex conjugate of a function is a generalization of the Legendre transformation which applies to non-convex functions. It is also known...

Convex optimization is a subfield of mathematical optimization that studies the problem of minimizing convex functions over convex sets (or, equivalently...