In this work, we discuss and introduce the novel literature about Raina-convex function and its algebraic properties. In addition, we elaborate and investigate Hermite-Hadamard and Fejér-type inequalities for newly discussed definition. Finally, using the newly introduced definition, we find and prove amazing new integral type inequalities and applications for mean to positive real numbers. The amazing techniques and wonderful ideas of this paper may inspire and motivate for further activities and research in this direction furthermore.