Advances in Fractional Milne-Type Inequalities for Convexity and Their Applications

Fractional calculus serves as a fundamental framework in mathematics, applied sciences, and the study of integral inequalities, offering versatile tools for modeling complex phenomena. This study focuses on establishing new Milne-type inequalities for various classes of functions within the framework of Atangana-Baleanu fractional integrals. The main contributions include fractional Milne-type inequalities for bounded functions, derived as special cases of the presented theorems and supported by illustrative examples. Furthermore, the work presents applications to the q−digamma function and provides refined error estimates associated with the generalized Milne-type quadrature formula.