A Note on Extrema of Linear Combinations of Elementary Symmetric   Functions
  This note provides a new approach to a result of Foregger and related earlier results by Keilson and Eberlein. Using quite different techniques, we prove a more general result from which the others follow easily. Finally, we argue that the proof given by Foregger is flawed. 
Alexander Kova\v{c}ec, Salma Kuhlmann, Cordian Riener
math.OC