Convex function

In mathematics, a real-valued function defined on an n-dimensional interval is called convex (or convex downward or concave upward) if the line segment

In mathematics, a real-valued function defined on an n-dimensional interval is called convex (or convex downward or concave upward) if the line segment

Logarithmically convex function

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

Proper convex function

mathematical analysis (in particular convex analysis) and optimization, a proper convex function is a convex function f taking values in the extended real

mathematical analysis (in particular convex analysis) and optimization, a proper convex function is a convex function f taking values in the extended real

Convex optimization

Convex optimization is a subfield of mathematical optimization that studies the problem of minimizing convex functions over convex sets. Many classes of

Convex optimization is a subfield of mathematical optimization that studies the problem of minimizing convex functions over convex sets. Many classes of

Closed convex function

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

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

Convex set

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

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

Concave function

function is the negative of a convex function. A concave function is also synonymously called concave downwards, concave down, convex upwards, convex

function is the negative of a convex function. A concave function is also synonymously called concave downwards, concave down, convex upwards, convex

Schur-convex function

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

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

Piecewise linear function

piecewise linear functions and the convex piecewise linear functions. In general, for every n-dimensional continuous piecewise linear function f : R n → R

piecewise linear functions and the convex piecewise linear functions. In general, for every n-dimensional continuous piecewise linear function f : R n → R

Convex conjugate

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

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