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On interval-valued $\mathbb{K}$-Riemann integral and Hermite-Hadamard type inequalities

Authors :
Zehao Sha
Guoju Ye
Dafang Zhao
Wei Liu
Source :
AIMS Mathematics, Vol 6, Iss 2, Pp 1276-1295 (2021)
Publication Year :
2021
Publisher :
AIMS Press, 2021.

Abstract

We introduce the concepts of $\mathbb{K}$-Riemann integral and radial $\mathbb{K}$-g$H$-derivative for interval-valued functions. We also give some important properties of interval-valued $\mathbb{K}$-Riemann integral, and extend interval-valued Hermite-Hadamard type inequalities in the case of $\mathbb{K}$-Riemann integral. Several examples are shown to illustrate the results.

Details

Language :
English
ISSN :
24736988
Volume :
6
Issue :
2
Database :
Directory of Open Access Journals
Journal :
AIMS Mathematics
Publication Type :
Academic Journal
Accession number :
edsdoj.9ab41f0b3fb468f95c2e04fa5337312
Document Type :
article
Full Text :
https://doi.org/10.3934/math.2021079/fulltext.html