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

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

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

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

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

Quasiconvex function

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

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

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

produced a number of vector supercomputers Convex function, in mathematics Convex lens, in optics Convex polygon, a polygon in which no line segment

produced a number of vector supercomputers Convex function, in mathematics Convex lens, in optics Convex polygon, a polygon in which no line segment

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