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

Jamshed Nasir, Saber Mansour*, Shahid Qaisar, Hassen Aydi*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)10001-10020
Number of pages20
JournalAIMS Mathematics
Volume8
Issue number5
DOIs
Publication statusPublished - 2023
Externally publishedYes

Keywords

  • Atangana-Baleanu fractional integral operator
  • Mercer’s Hermite-Hadamard inequality
  • convex function
  • interval-valued function

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