Some variants on Mercer's Hermite-Hadamard like inclusions of interval-valued functions for strong Kernel

Using Atangana-Baleanu ($ AB $) fractional integral operators, we first establish some fractional Hermite-Hadamard-Mercer inclusions for interval-valued functions in this study. In this, some fresh developments of the Hermite-Hadamard inequality for fractional integral operators are presented. A few...

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Published inAIMS mathematics Vol. 8; no. 5; pp. 10001 - 10020
Main Authors Nasir, Jamshed, Mansour, Saber, Qaisar, Shahid, Aydi, Hassen
Format Journal Article
LanguageEnglish
Published AIMS Press 01.01.2023
Subjects
atangana-baleanu fractional integral operator
convex function
interval-valued function
mercer's hermite-hadamard inequality
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Summary:Using Atangana-Baleanu ($ AB $) fractional integral operators, we first establish some fractional Hermite-Hadamard-Mercer inclusions for interval-valued functions in this study. In this, some fresh developments of the Hermite-Hadamard inequality for fractional integral operators are presented. A few instances are also given to support our conclusions. The resulting results could provide new insight into a variety of integral inequalities for fuzzy interval-valued functions, fractional interval-valued functions, and the optimization issues they raise. Finally, matrices-related applications are also shown.
ISSN:2473-6988
2473-6988
DOI:10.3934/math.2023506