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Different kinds of Schur convexities of power type $$\alpha$$-centroidal mean. (English) Zbl 1309.26024
Summary: In this paper, the different kinds of Schur convexity and concavity results of power type $$\alpha$$-centroidal means and its dual form in two variables are discussed.
##### MSC:
 26D15 Inequalities for sums, series and integrals 26D10 Inequalities involving derivatives and differential and integral operators 26E60 Means
##### Keywords:
concavity; centroidal mean; contra harmonic mean