Schur-power convexity of integral mean for convex functions on the coordinates
Schur-power convexity of integral mean for convex functions on the coordinates
Abstract In this article, we investigate the concepts of monotonicity, Schur-geometric convexity, Schur-harmonic convexity, and Schur-power convexity for the lower and upper limits of the integral mean, focusing on convex functions on coordinate axes. Furthermore, we introduce novel and fascinating inequalities for binary means as a practical application.