S. Al-Sa'di - Department of Mathematics, Faculty of Science, The Hashemite University, P.O. Box 330127, Zarqa 13133, Jordan. M. Bibi - Department of Basics Sciences, University of Engineering and Technology, Taxila, Pakistan. M. Muddassar - Department of Basics Sciences, University of Engineering and Technology, Taxila, Pakistan. S. Kermausuor - Department of Mathematics and Computer Science, Alabama State University, Montgomery, AL, 36101, USA.
In this work, we address and explore the concept of generalized \(m\)-preinvex functions on fractal sets along with linked local fractional integral inequalities. Additionally, some engrossing algebraic properties are presented to facilitate the current initiated idea. Furthermore, we prove the latest variant of Hermite-Hadamard type inequality employing the proposed definition of preinvexity. We also derive several novel versions of inequalities of the Hermite-Hadamard type and Fejér-Hermite-Hadamard type for the first-order local differentiable generalized \(m\)-preinvex functions. Finally, some new inequalities for the generalized means and generalized random variables are established as applications.
S. Al-Sa'di, M. Bibi, M. Muddassar, S. Kermausuor, Generalized \(m\)-preinvexity on fractal set and related local fractional integral inequalities with applications, Journal of Mathematics and Computer Science, 30 (2023), no. 4, 352--371
Al-Sa'di S., Bibi M., Muddassar M., Kermausuor S., Generalized \(m\)-preinvexity on fractal set and related local fractional integral inequalities with applications. J Math Comput SCI-JM. (2023); 30(4):352--371
Al-Sa'di, S., Bibi, M., Muddassar, M., Kermausuor, S.. "Generalized \(m\)-preinvexity on fractal set and related local fractional integral inequalities with applications." Journal of Mathematics and Computer Science, 30, no. 4 (2023): 352--371
