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函数凸性是刻画函数几何特征的一个重要性质,因此在数学中有着广泛的应用,例如,参见文献[1,2,3,4].我们首先回顾函数凸性的定义,其中我们约定本文所有的函数都是定义在直线R或者直线R的一个区间Ⅰ上的实值函数,并且这里的区间可以不是开的.设Ⅰ为R的区间且f为定义在Ⅰ上的实值函数,若对任意x1,x2∈Ⅰ及λ∈(0,1),均有fλ(x1+(1-λ)x2)≤λf(x1)+(1-λ)f(x2),
Function convexity is an important characterization of the geometric features of the function, so it has a wide range of applications in mathematics, for example, see [1,2,3,4] .First, we review the definition of function convexity, where we agree that all Are defined as real-valued functions over an interval I of a straight line R or a straight line R, and the interval here may not be open. Let I be the interval of R and f be a real-valued function defined on I, (X1 + (1-λ) x2) ≤λf (x1) + (1-λ) f (x2) for any x1, x2∈Ⅰ and λ∈ (0,1)