Modified Inequalities on Center-Radius Order Interval-Valued Functions Pertaining to Riemann–Liouville Fractional Integrals

Soubhagya Kumar Sahoo, Eman Al-Sarairah, Pshtiwan Othman Mohammed, Muhammad Tariq, Kamsing Nonlaopon

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

Abstract

In this paper, we shall discuss a newly introduced concept of center-radius total-ordered relations between two intervals. Here, we address the Hermite–Hadamard-, Fejér- and Pachpatte-type inequalities by considering interval-valued Riemann–Liouville fractional integrals. Interval-valued fractional inequalities for a new class of preinvexity, i.e., (Formula presented.) -h-preinvexity, are estimated. The fractional operator is used for the first time to prove such inequalities involving center–radius-ordered functions. Some numerical examples are also provided to validate the presented inequalities.

Original languageBritish English
Article number732
JournalAxioms
Volume11
Issue number12
DOIs
StatePublished - Dec 2022

Keywords

  • center–radius order
  • Hermite–Hadamard inequalities
  • interval-valued functions
  • Riemann–Liouville fractional operator

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