convexfunction

Inmathematics,areal-valuedfunctioniscalledconvexifthelinesegmentbetweenanytwodistinctpointsonthegraphofthefunctionliesabovethe ...,換句話說，以往位置們的函數值的總和、超級極值位置的函數值的總和（窮舉超級極值位置，取函數值的總和最小者），兩者差距。,2019年1月24日—最後有幾個很常遇到也相當重要的性質。第一個是First-ordercharacterization：如果一個函數是可微的，那麼該函數會是Convex若且唯若其定義域為C...

參考資訊如下
Convex function

In 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 ...

Convex Optimization

換句話說，以往位置們的函數值的總和、超級極值位置的函數值的總和（窮舉超級極值位置，取函數值的總和最小者），兩者差距。

《Convex Optimization》notes 2 — Convexity I

2019年1月24日 — 最後有幾個很常遇到也相當重要的性質。第一個是First-order characterization：如果一個函數是可微的，那麼該函數會是Convex 若且唯若其定義域為Convex 且 ...

Convex Functions

2023年4月18日 — A function is convex if for any two points on its graph, the line segment connecting the two points lies entirely above the graph of the ...

Convexity

The function f is convex on the interval I iff for every a, b ∈ I, the line segment between the points (a, f(a)) and (b, f(b)) is always above or on the curve ...

Convex Function -

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 ...

凸函數

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 ...

1 Theory of convex functions

Let's first recall the definition of a convex function. Definition 1. A function f : Rn → R is convex if its domain is a convex set and for all x, y in ...