Schur-convexity of the complete elementary symmetric function
Schur-convexity of the complete elementary symmetric function
We prove that the complete elementary symmetric function and the function are Schur-convex functions in , where are nonnegative integers, , . For which, some inequalities are established by use of the theory of majorization. A problem given by K. V. Menon (Duke Mathematical Journal 35 (1968), 37–45) is also …