Integral inequalities involving a new class of generalized strongly modified $(p,h)$-convex functions

A novel class of generalized strongly modified (GSM) $(p,h)$-convex functions (CFs) was presented in paper and its fundamental properties were established. Schur, Hermite-Hadamard (H-H), and Fejér inequalities were proved for this new notion of convexity. Several illustrations have been incorporated by selecting several GSM $(p,h)$-CFs to substantiate the existence and feasibility of Schur, H-H, and Fejér-type inequalities. These inequalities are valuable resources for analyzing the characteristics of newly defined GSM $(p,h)$-CFs. A comparison was given to show that the results of this study represent a significant improvement over those of earlier publications.