Milne-type integral inequalities for modified $(h,m)$-convex functions on fractal sets

In the article, new versions of integral inequalities of Milne type are derived for $(h, m)$-convex modified functions of the second type on fractal sets. Based on a new generalized local fractional weighted integral operator, an identity is established as the foundation for subsequently obtained inequalities. Throughout our study, we obtained certain results known in the literature, which include particular cases of our findings.