Riemann-Liouville Fractional Inclusions for Convex Functions Using Interval Valued Setting

Vuk Stojiljković (), Rajagopalan Ramaswamy, Ola A. Ashour Abdelnaby and Stojan Radenović
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Vuk Stojiljković: Faculty of Science, University of Novi Sad, Trg Dositeja Obradovića 3, 21000 Novi Sad, Serbia
Rajagopalan Ramaswamy: Department of Mathematics, College of Science and Humanities, Prince Sattam bin Abdulaziz Univeristy, Al-Kharj 16278, Saudi Arabia
Ola A. Ashour Abdelnaby: Department of Mathematics, College of Science and Humanities, Prince Sattam bin Abdulaziz Univeristy, Al-Kharj 16278, Saudi Arabia
Stojan Radenović: Faculty of Mechanical Engineering, University of Belgrade, Kraljice Marije 16, 11120 Beograd, Serbia

Mathematics, 2022, vol. 10, issue 19, 1-16

Abstract: In this work, various fractional convex inequalities of the Hermite–Hadamard type in the interval analysis setting have been established, and new inequalities have been derived thereon. Recently defined p interval-valued convexity is utilized to obtain many new fractional Hermite–Hadamard type convex inequalities. The derived results have been supplemented with suitable numerical examples. Our results generalize some recently reported results in the literature.

Keywords: convex interval-valued functions; pseudo-order relations; Hermite–Hadamard inequality; Riemann–Liouville fractional integral operators; fuzzy interval-valued analysis (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (4)

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