Hermite-Hadamard-Mercer type inclusions for interval-valued functions via Riemann-Liouville fractional integrals

Authors

HASAN KARA
MUHAMMAD AAMIR ALI
HÜSEYİN BUDAK

DOI

10.55730/1300-0098.3263

Abstract

In this research, we first establish some inclusions of fractional Hermite-Hadamard-Mercer type for interval-valued functions. Moreover, by special cases of our main results, we show that our main results reduce several inclusions obtained in the earlier works.

Keywords

Hermite-Hadamard-Mercer inequality, Riemann-Liouville fractional integrals, interval-valued function, convex function

First Page

2193

Last Page

2207

Recommended Citation

KARA, HASAN; ALI, MUHAMMAD AAMIR; and BUDAK, HÜSEYİN (2022) "Hermite-Hadamard-Mercer type inclusions for interval-valued functions via Riemann-Liouville fractional integrals," Turkish Journal of Mathematics: Vol. 46: No. 6, Article 11. https://doi.org/10.55730/1300-0098.3263
Available at: https://journals.tubitak.gov.tr/math/vol46/iss6/11