On some Hermite–Hadamard type inequalities for \(\mathcal{T}\) -convex interval-valued functions

Advances in Difference Equations

article

Sha, Zehao¹  Ye, Guoju¹  Zhao, Dafang²  Liu, Wei¹ 

[1] College of Science, Hohai University;School of Mathematics and Statistics, Hubei Normal University

关键词: Interval-valued functions;    \(\mathcal {T}\) -convex;    Hermite–Hadamard type inequalities;    Ostrowski type inequalities;   

DOI  :  10.1186/s13662-020-03004-1

学科分类：航空航天科学

来源: SpringerOpen

【 摘 要 】

In this paper, we introduce the concepts of map$\mathcal {T}$ and interval-valued$\mathcal {T}$ -convex, and give some basic properties. Further, we extend fractional Hermite–Hadamard inequalities in the case of$\mathcal {T}$ -convex and Ostrowski type inequalities for interval-valued functions. Several examples are presented to illustrate the results.

【 授权许可】

CC BY