Hermite-Hadamard Type Inequalities For (H)Over-Bar-Convex Function Via Fuzzy Interval-Valued Fractional Q-Integral

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Date

2024

Journal Title

Journal ISSN

Volume Title

Publisher

World Scientific Publ Co Pte Ltd

Access Rights

info:eu-repo/semantics/closedAccess

Abstract

Fractional q-calculus is considered to be the fractional analogs of q-calculus. In this paper, the fuzzy interval-valued Riemann-Liouville fractional (RLF) q-integral operator is introduced. Also new fuzzy variants of Hermite-Hadamard (HH) type and HH-Fejer inequalities, involving (h) over bar -convex fuzzy interval-valued functions (FIVFs), are presented by making use of the RLF q-integral. The results not only generalize existing findings in the literature but also lay a solid foundation for research on inequalities concerning FIVFs. Moreover, to verify our theoretical findings, numerical examples and imperative graphical illustrations are provided.

Description

Keywords

Hermite-Hadamard Inequalities, (h)over-bar-Convexity, Fractional Integral, Quantum Integral, Fuzzy Interval-Valued Functions

Journal or Series

Fractals-Complex Geometry Patterns And Scaling in Nature And Society

WoS Q Value

N/A

Scopus Q Value

Q1

Volume

32

Issue

2

Citation