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Comparison of discrete mixed means containing symmetric functions
Authors:R. Kh. Sadikova
Affiliation:(1) M. V. Lomonosov Moscow Academy of Chemical Technology, Russia
Abstract:
We prove inequalities for mixed generalized means; from these inequalities we obtain analogs or generalizations of inequalities due to Ness, to Carlson, Meany, and Nelson, to Godunova, and to Marcus and Minc, etc.
Keywords:discrete mixed mean  strictly monotone continuous function  generalized mean  concave and convex function  symmetric function  Jessen’  s inequality  Jensen’  s inequality
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