基于Sugeno积分和p-凸函数的Sandor型不等式研究  

A Study of Sandor Inequality Based on Sugeno Integral with P-convex Function

作　　者：李兰平 陈丽萍 LI Lan-ping;CHEN Li-ping(Department of Mathematics and Statistics,Hunan University of Finance and Economics,Changsha 410205,China)

机构地区：[1]湖南财政经济学院数学与统计学院,湖南长沙410205

出　　处：《兰州文理学院学报（自然科学版）》2020年第5期25-28,共4页Journal of Lanzhou University of Arts and Science(Natural Sciences)

基　　金：湖南省自然科学基金项目(2018JJ2010)。

摘　　要：积分不等式在控制论和积分学理论研究中占据重要的地位.拟在Sugeno积分下研究一类重要类型的积分不等式-Sandor型不等式.在p-凸函数下构建了一类基于Sugeno积分的Sandor型不等式,并通过算例验证了结论.Integral inequality plays an important role in the study of cybernetics and integral calculus.A class of important integral inequality of Sandor type inequality in Sugeno integral is studied in this paper.Combining with p-convex function with Sugeno integral,Sandor inequalities are derived.The result is validated by examples.

关 键 词：Sugeno积分 Sandor型不等式 P-凸函数 

分 类 号：O159[理学—数学]