Extensions and Improvements of Jensen's and Majorization Type Inequalities for <i>p</i>-harmonic Convex Functions

In this paper some integral inequalities of Jensen's type for generalised non-convex functions defined on real-line intervals and some results on Majorization type inequalities are established. We introduce a novel category of harmonic convex functions, referred to as p-harmonic convex functions. Additionally, new findings are also presented, with generalizations of previously established results. Further validation of the obtained solutions with the existing literature is also discussed.