关于区间序列的离散Opial型不等式  

Discrete Opial type inequality for interval sequences

作　　者：连俊勤 赵大方 LIAN Junqin;ZHAO Dafang(School of Mathematics and Statistics,Hubei Normal University,Huangshi 435002,China)

机构地区：[1]湖北师范大学数学与统计学院,湖北黄石435002

出　　处：《湖北大学学报（自然科学版）》2023年第4期473-477,共5页Journal of Hubei University：Natural Science

基　　金：国家冰川冻土沙漠科学数据中心开放基金(2021kf03);湖北省教育厅科学研究计划重点项目(D20192501)资助。

摘　　要：基于Young不等式、区间数的gH-差,以及区间分析基本理论,得到一些新的关于区间序列的离散Opial型不等式,推广了一些经典的离散Opial型不等式,并举例予以验证.Dedicated to establishing some discrete Opial type inequalities for interval-valued functions.As well as based on Young’s inequality,gH-difference of the interval-valued functions,and interval analysis theory,some generalizations of classical discrete Opial inequality were obtained.In addition,some numerical examples were given to illustrate the related results.

关 键 词：Opial型不等式 拟范数 区间序列 gH-差 

分 类 号：O178[理学—数学]