凸函数 我们从凸函数之定义开始 定义: f 为一定义在区间 I ⊆ R 上之 一实值函数 (real-valued function) f : I −→ R 若对任意的 0< λ< 1, a, b ∈ I, f 满足下 式 f(λa + (1 − λ) b) ≤ λ f(a) + (1 − λ) f(b) (1) 则称 f 为...
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在实际中,粗糙变量不一定是实值,他们的值有可能是连续函数、有界变差函数等等。
In practice, rough variables may not be real number values, and their values may be continuous functions, bounded variation functions and so on.
锥拟凸向量函数的概念是通常实值函数拟凸性的拓广。 由于拓广途径不一,在许多有关文献中各自提出了自己的锥拟凸向量函数概念。
This paper summarizes several different definitions of cone quasiconvex vector functions proposed in different literatures and discusses the relations among them.
本文对线性空间中的凸集上的实值函数定义一种导数,用其研究函数凸性,得到了上述三种凸函数的若干判定定理。
This paper defines a kind of derivative for real function on convex set which is in linear space. By means of the derivative we study convexity of function and obtain some decision theories.
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