摘要
用凸函数和单调函数的相关性质给出了3个新的三角不等式,其中的2个不等式从本质上推广了近期的相关结果.所用证明方法完全不同且简单.
In this paper, three new trigonometrical inequalities are given by the related properties of convex function and monotonic function, in which, the two of three new trigonometrical inequalities indeed extended the corresponding main results obtained recently. Furthermore, the methods of proof given in the paper are quite different and very easy.
出处
《宁夏大学学报(自然科学版)》
CAS
北大核心
2005年第2期110-112,共3页
Journal of Ningxia University(Natural Science Edition)
基金
国家自然科学基金资助项目(10271025)
浙江省自然科学基金资助项目(102002)
关键词
三角不等式
凸函数
单调函数
推广
trigonometrical inequality
convex function
monotonic function
generalization