Riemann–Liouville Fractional Integral Inequalities for Generalized Pre-Invex Functions of Interval-Valued Settings Based upon Pseudo Order Relation

Muhammad Bilal Khan, Hatim Ghazi Zaini, Savin Treanțǎ, Mohamed S. Soliman and Kamsing Nonlaopon
Additional contact information
Muhammad Bilal Khan: Department of Mathematics, COMSATS University Islamabad, Islamabad 45550, Pakistan
Hatim Ghazi Zaini: Department of Computer Science, College of Computers and Information Technology, Taif University, P.O. Box 11099, Taif 21944, Saudi Arabia
Savin Treanțǎ: Department of Applied Mathematics, University Politehnica of Bucharest, 060042 Bucharest, Romania
Mohamed S. Soliman: Department of Electrical Engineering, College of Engineering, Taif University, P.O. Box 11099, Taif 21944, Saudi Arabia
Kamsing Nonlaopon: Department of Mathematics, Faculty of Science, Khon Kaen University, Khon Kaen 40002, Thailand

Mathematics, 2022, vol. 10, issue 2, 1-17

Abstract: The concepts of convex and non-convex functions play a key role in the study of optimization. So, with the help of these ideas, some inequalities can also be established. Moreover, the principles of convexity and symmetry are inextricably linked. In the last two years, convexity and symmetry have emerged as a new field due to considerable association. In this paper, we study a new version of interval-valued functions ( I - V · Fs ), known as left and right χ -pre-invex interval-valued functions (LR- χ -pre-invex I - V · Fs ). For this class of non-convex I - V · Fs , we derive numerous new dynamic inequalities interval Riemann–Liouville fractional integral operators. The applications of these repercussions are taken into account in a unique way. In addition, instructive instances are provided to aid our conclusions. Meanwhile, we’ll discuss a few specific examples that may be extrapolated from our primary findings.

Keywords: LR- ? -pre-invex interval-valued function; interval Riemann–Liouville fractional integral operator; Hermite–Hadamard inequality; Hermite–Hadamard Fejér inequality (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 (3)

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