Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Some New Fractional Inequalities for Coordinated Convexity over Convex Set Pertaining to Fuzzy-Number Valued Settings Governed by Fractional Integrals

Version 1 : Received: 23 October 2023 / Approved: 24 October 2023 / Online: 25 October 2023 (07:33:52 CEST)

A peer-reviewed article of this Preprint also exists.

Saeed, T.; Cătaș, A.; Khan, M.B.; Alshehri, A.M. Some New Fractional Inequalities for Coordinated Convexity over Convex Set Pertaining to Fuzzy-Number-Valued Settings Governed by Fractional Integrals. Fractal Fract. 2023, 7, 856. Saeed, T.; Cătaș, A.; Khan, M.B.; Alshehri, A.M. Some New Fractional Inequalities for Coordinated Convexity over Convex Set Pertaining to Fuzzy-Number-Valued Settings Governed by Fractional Integrals. Fractal Fract. 2023, 7, 856.

Abstract

In this study, we first discover some new concept coordinated UD-convex mappings with fuzzy-number values. After that, we look into Hermite-Hadamard type inequalities via fuzzy-number-valued coordinated UD-convex fuzzy-number-valued mapping (coordinated UD-convex FNVM). In the case of coordinated UD-convex FNVM, novel conclusions are derived by making particular decisions in recently proven inequalities. Additionally, it is demonstrated that the recently discovered inequalities are expansions of comparable findings in the literature. It is important to note that the main outcomes are validated by nontrivial examples.

Keywords

Fuzzy-number valued mappings; generalized fractional integral; coordinated convex mappings; coordinated UD-convexity; Hermite-Hadamard’s inequalities

Subject

Computer Science and Mathematics, Mathematics

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