Convex function
2016年3月1日 — Theorem 1. A function f : Rn → R is convex if and only if the function g : R → R given by g(t) = f ... ,nonnegative multiple: αf is convex if f is convex, α ≥ 0 sum: f1 + f2 convex if f1,f2 convex (extends to infinite sums, integrals) composition with affine function: f(Ax ... ,The theory of convex sets and functions has a rich history and has been the focus of intense study for over a century in mathematics. In the terrain of applied ... ,In mathematics, a real-valued function defined on an n-dimensional interval is called convex if the line segment between any two points on the graph of the ... ,A convex function is a continuous function whose value at the midpoint of every interval in its domain does not exceed the arithmetic mean of its values at the ends of the interval. ... If the sign of the inequality is reversed, the function is called con,K-convex functions, first introduced by Scarf, are a special weakening of the concept of convex function which is crucial in the proof of the optimality of the ( s , S ) ... ,In mathematics, a function f is logarithmically convex or superconvex if log ∘ f -displaystyle -log }-circ f} -log }-circ f , the composition of the logarithm with f, ... ,In mathematical analysis (in particular convex analysis) and optimization, a proper convex function is a convex function f taking values in the extended real ... ,Convex Function在某些中國大陸的數學書中指凹函數。Concave Function指凸函數。但在中國大陸涉及經濟學的很多書中，凹凸性的提法和其他國家的提法是一致 ...
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 Convex function 相關參考資料
1 Theory of convex functions - Princeton University
2016年3月1日 — Theorem 1. A function f : Rn → R is convex if and only if the function g : R → R given by g(t) = f ... https://www.princeton.edu 3. Convex functions
nonnegative multiple: αf is convex if f is convex, α ≥ 0 sum: f1 + f2 convex if f1,f2 convex (extends to infinite sums, integrals) composition with affine function: f(Ax ... https://web.stanford.edu Convex Function - an overview | ScienceDirect Topics
The theory of convex sets and functions has a rich history and has been the focus of intense study for over a century in mathematics. In the terrain of applied ... https://www.sciencedirect.com Convex function - Wikipedia
In mathematics, a real-valued function defined on an n-dimensional interval is called convex if the line segment between any two points on the graph of the ... https://en.wikipedia.org Convex Function -- from Wolfram MathWorld
A convex function is a continuous function whose value at the midpoint of every interval in its domain does not exceed the arithmetic mean of its values at the ends of the interval. ... If the sign of... https://mathworld.wolfram.com K-convex function - Wikipedia
K-convex functions, first introduced by Scarf, are a special weakening of the concept of convex function which is crucial in the proof of the optimality of the ( s , S ) ... https://en.wikipedia.org Logarithmically convex function - Wikipedia
In mathematics, a function f is logarithmically convex or superconvex if log ∘ f -displaystyle -log }-circ f} -log }-circ f , the composition of the logarithm with f, ... https://en.wikipedia.org Proper convex function - Wikipedia
In mathematical analysis (in particular convex analysis) and optimization, a proper convex function is a convex function f taking values in the extended real ... https://en.wikipedia.org 凸函數- 維基百科，自由的百科全書 - Wikipedia
Convex Function在某些中國大陸的數學書中指凹函數。Concave Function指凸函數。但在中國大陸涉及經濟學的很多書中，凹凸性的提法和其他國家的提法是一致 ... https://zh.wikipedia.org |