Akademik Veri Yönetim Sistemi
FRACTAL AND FRACTIONAL, cilt.9, sa.6, 2025 (SCI-Expanded)
As the most important inequality, the Hermite-Hadamard-Mercer inequality has attracted the interest of numerous additional mathematicians. Numerous findings on this inequality have been developed in recent years. So, in this paper, we demonstrate novel Hermite-Hadamard-Mercer inequalities using Raina fractional operators and the majorization concept. Furthermore, additional identities are discovered, and two new lemmas of this type are proved. A summary of several known results is also provided, along with a thorough derivation of some exceptional cases. We also note that some of the outcomes in this study are more acceptable than others under certain exceptional instances, such as setting n=2, w=0, sigma(0)=1, and lambda=1 or lambda=alpha. Lastly, the method described in this publication is thought to stimulate further research in this area.