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