Butt, Saad IhsanYousaf, SabaYounas, MuhammadAhmad, HijazYao, Shao-Wen2023-02-142023-02-142022https://hdl.handle.net/11467/6221https://doi.org/10.1142/S0218348X22400552Fractal analysis is a totally new area of research based on local fractional calculus. It has interesting applications in various fields such as a complex graph, computer graphics, the music industry, picture compression and many more fields. In this paper, we present new variants of Hadamard-Mercer-type inequalities on fractal sets R? (0 < ? ? 1) by employing generalized convex function. We establish two new lemmas involving local fractional integrals. By using these lemmas, we obtain several results related to generalized Hadamard-Mercer-type integral inequalities for local differentiable generalized convex functions on real linear fractal space. Finally, we give applications for probability density functions and compute new generalized means.eninfo:eu-repo/semantics/openAccessFractal Space; Generalized Convex Function; Generalized Hermite-Hadamard Inequality; Jensen-Mercer Inequality; Local Fractional Derivative; Local Fractional IntegralArticle302Q1WOS:000776872300036N/A2-s2.0-8512390028110.1142/S0218348X22400552