摘要
利用几何凸函数的积分性质和二个指数函数的几何凸性,分别得到了ex(x>0)和e-x(x>0)的泰勒展开式余项的一个新的估计,得出了两个新的不等式,应用这两个新的不等式可以有效地改进一些影响较广的已知结果,并且对具有同样性质的祁锋不等式给出一个简证.
By making use of the integral property of geometrically convex functions and geometrical convexity of the two exponential functions, this paper obtains two new estimation formulas of the remainder term in Taylor expansion of e^x （x〉0） and e^-x （x〉0）, and two new inequalities. The new inequalities can be used to effectively improve some widely - affected known results. Meanwhile, it briefly proves the correctness of Qi Feng＇s inequality that has the same property.
出处
《湖州师范学院学报》
2009年第1期11-15,共5页
Journal of Huzhou University
关键词
泰勒展开式
余项
不等式
几何凸函数
Taylor expansion
remainder term
geometrically convex functions
inequality
