Geodesic
Comparison of Discrete Mixed Means Containing Symmetric Functions
Matematičeskie zametki, Tome 80 (2006) no. 2, pp. 262-269

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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. 
@article{MZM_2006_80_2_a11,
     author = {R. Kh. Sadikova},
     title = {Comparison of {Discrete} {Mixed} {Means} {Containing} {Symmetric} {Functions}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {262--269},
     publisher = {mathdoc},
     volume = {80},
     number = {2},
     year = {2006},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2006_80_2_a11/}
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R. Kh. Sadikova. Comparison of Discrete Mixed Means Containing Symmetric Functions. Matematičeskie zametki, Tome 80 (2006) no. 2, pp. 262-269. http://geodesic.mathdoc.fr/item/MZM_2006_80_2_a11/