摘要
基于GA-凸函数的函数凸性,研究了GA-凸函数的Jensen型不等式的积分形式.通过定积分的定义计算,得到了GA-凸函数的积分型Jensen不等式;利用GA-凸函数的一个充要条件,进一步给出了GA-凸函数的积分型Jensen不等式的加权形式.
Based on the function convexity of GA-convex function, the integral form of Jensen-type inequality of GA-convex function is studied, and the integral-type Jensen inequality of GA-convex function is obtained by the definition of definite integral. In addition, the weighted form of integral-type Jensen inequality of GA-convex function is established by making use of a necesssary and sufficient condition of GA-convex function,
出处
《曲阜师范大学学报（自然科学版）》
CAS
2012年第3期21-24,共4页
Journal of Qufu Normal University(Natural Science)
基金
湖北省教育科学"十二五"规划课题"利用数学建模培养高职学生创新思维能力的研究"(2011B329)
