Akademik Veri Yönetim Sistemi
Fractals, 2025 (SCI-Expanded, Scopus)
This work focuses on the study of Milne’s inequality in the framework of Katugampola fractional multiplicative integrals, inspired by recent progress in non-Newtonian fractional calculus. We develop a new integral identity related to these operators and employ it to derive Milne-type inequalities for the class of multiplicative differentiable (s,P)-convex mappings. Our analysis is further enriched through the application of Hölders inequality and the power mean inequality, which allow us to establish tighter bounds and extended results. To illustrate the validity and applicability of our theoretical approach, we include numerical examples that demonstrate the consistency and importance of the obtained estimates. Finally, we highlight several potential research directions intended to promote future investigations into this evolving domain of mathematical analysis.