【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.更多还原

【Abstract】 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 ex(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.更多还原