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DOI10.3390/math9192352
On Hermite-Hadamard-Type Inequalities for Coordinated h-Convex Interval-Valued Functions
Zhao, Dafang; Zhao, Guohui; Ye, Guoju; Liu, Wei; Dragomir, Silvestru Sever
通讯作者Zhao, DF (通讯作者),Hubei Normal Univ, Sch Math & Stat, Huangshi 435002, Hubei, Peoples R China. ; Zhao, DF (通讯作者),Chinese Acad Sci, Northwest Inst Ecoenvironm & Resources, Lanzhou 730000, Peoples R China.
发表日期2021
EISSN2227-7390
卷号9期号:19
英文摘要This paper is devoted to establishing some Hermite-Hadamard-type inequalities for interval-valued functions using the coordinated h-convexity, which is more general than classical convex functions. We also discuss the relationship between coordinated h-convexity and h-convexity. Furthermore, we introduce the concepts of minimum expansion and maximum contraction of interval sequences. Based on these two new concepts, we establish some new Hermite-Hadamard-type inequalities, which generalize some known results in the literature. Additionally, some examples are given to illustrate our results.YY
关键词S-CONVEX2ND SENSE
英文关键词Hermite-Hadamard inequality; interval double integral; coordinated h-convex; interval-valued functions
语种英语
WOS研究方向Mathematics
WOS类目Mathematics
WOS记录号WOS:000707034500001
来源期刊MATHEMATICS
来源机构中国科学院西北生态环境资源研究院
文献类型期刊论文
条目标识符http://gcip.llas.ac.cn/handle/2XKMVOVA/253770
作者单位[Zhao, Dafang] Hubei Normal Univ, Sch Math & Stat, Huangshi 435002, Hubei, Peoples R China; [Zhao, Dafang; Zhao, Guohui] Chinese Acad Sci, Northwest Inst Ecoenvironm & Resources, Lanzhou 730000, Peoples R China; [Ye, Guoju; Liu, Wei] Hohai Univ, Coll Sci, Nanjing 210098, Peoples R China; [Dragomir, Silvestru Sever] Victoria Univ, Coll Engn & Sci, Math, Melbourne, Vic 8001, Australia
推荐引用方式
GB/T 7714
Zhao, Dafang,Zhao, Guohui,Ye, Guoju,et al. On Hermite-Hadamard-Type Inequalities for Coordinated h-Convex Interval-Valued Functions[J]. 中国科学院西北生态环境资源研究院,2021,9(19).
APA Zhao, Dafang,Zhao, Guohui,Ye, Guoju,Liu, Wei,&Dragomir, Silvestru Sever.(2021).On Hermite-Hadamard-Type Inequalities for Coordinated h-Convex Interval-Valued Functions.MATHEMATICS,9(19).
MLA Zhao, Dafang,et al."On Hermite-Hadamard-Type Inequalities for Coordinated h-Convex Interval-Valued Functions".MATHEMATICS 9.19(2021).
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