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

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

Abstract In this paper, we introduce the concepts of map T $\mathcal {T}$ and interval-valued T $\mathcal {T}$ -convex, and give some basic properties. Further, we extend fractional Hermite–Hadamard inequalities in the case of T $\mathcal {T}$ -convex and Ostrowski type inequalities for interval-val...

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Main Authors:	Zehao Sha, Guoju Ye, Dafang Zhao, Wei Liu
Format:	Article
Language:	English
Published:	SpringerOpen 2020-10-01
Series:	Advances in Difference Equations
Subjects:	Interval-valued functions T $\mathcal {T}$ -convex Hermite–Hadamard type inequalities Ostrowski type inequalities
Online Access:	http://link.springer.com/article/10.1186/s13662-020-03004-1

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spelling	doaj-5aece50ca1964315aab0e68efb152c112020-11-25T02:49:52ZengSpringerOpenAdvances in Difference Equations1687-18472020-10-012020111510.1186/s13662-020-03004-1On some Hermite–Hadamard type inequalities for T $\mathcal{T}$ -convex interval-valued functionsZehao Sha0Guoju Ye1Dafang Zhao2Wei Liu3College of Science, Hohai UniversityCollege of Science, Hohai UniversitySchool of Mathematics and Statistics, Hubei Normal UniversityCollege of Science, Hohai UniversityAbstract In this paper, we introduce the concepts of map T $\mathcal {T}$ and interval-valued T $\mathcal {T}$ -convex, and give some basic properties. Further, we extend fractional Hermite–Hadamard inequalities in the case of T $\mathcal {T}$ -convex and Ostrowski type inequalities for interval-valued functions. Several examples are presented to illustrate the results.http://link.springer.com/article/10.1186/s13662-020-03004-1Interval-valued functionsT $\mathcal {T}$ -convexHermite–Hadamard type inequalitiesOstrowski type inequalities
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Zehao Sha Guoju Ye Dafang Zhao Wei Liu
spellingShingle	Zehao Sha Guoju Ye Dafang Zhao Wei Liu On some Hermite–Hadamard type inequalities for T $\mathcal{T}$ -convex interval-valued functions Advances in Difference Equations Interval-valued functions T $\mathcal {T}$ -convex Hermite–Hadamard type inequalities Ostrowski type inequalities
author_facet	Zehao Sha Guoju Ye Dafang Zhao Wei Liu
author_sort	Zehao Sha
title	On some Hermite–Hadamard type inequalities for T $\mathcal{T}$ -convex interval-valued functions
title_short	On some Hermite–Hadamard type inequalities for T $\mathcal{T}$ -convex interval-valued functions
title_full	On some Hermite–Hadamard type inequalities for T $\mathcal{T}$ -convex interval-valued functions
title_fullStr	On some Hermite–Hadamard type inequalities for T $\mathcal{T}$ -convex interval-valued functions
title_full_unstemmed	On some Hermite–Hadamard type inequalities for T $\mathcal{T}$ -convex interval-valued functions
title_sort	on some hermite–hadamard type inequalities for t $\mathcal{t}$ -convex interval-valued functions
publisher	SpringerOpen
series	Advances in Difference Equations
issn	1687-1847
publishDate	2020-10-01
description	Abstract In this paper, we introduce the concepts of map T $\mathcal {T}$ and interval-valued T $\mathcal {T}$ -convex, and give some basic properties. Further, we extend fractional Hermite–Hadamard inequalities in the case of T $\mathcal {T}$ -convex and Ostrowski type inequalities for interval-valued functions. Several examples are presented to illustrate the results.
topic	Interval-valued functions T $\mathcal {T}$ -convex Hermite–Hadamard type inequalities Ostrowski type inequalities
url	http://link.springer.com/article/10.1186/s13662-020-03004-1
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On some Hermite–Hadamard type inequalities for T $\mathcal{T}$ -convex interval-valued functions

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