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.
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Bibliography
W. Ness, “Das arithemetische und das geometrische Mittel,” Prax. Math., 8 (1964), no. 11, 293–296.
B. Carlson, R. Meany, and S. Nelson, “Mixed arithmetic and geometric means,” Pacific J. Math., 38 (1971), no. 2, 343–349.
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M. Marcus and H. Minc, A Survey of Matrix Theory and Matrix Inequalities, Allyn and Bacon, Boston, Mass., 1964; Russian transl.: Nauka, Moscow, 1972.
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Translated from Matematicheskie Zametki, vol. 80, no. 2, 2006, pp. 262–269.
Original Russian Text Copyright © 2006 by R. Kh. Sadikova.
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Sadikova, R.K. Comparison of discrete mixed means containing symmetric functions. Math Notes 80, 254–260 (2006). https://doi.org/10.1007/s11006-006-0134-3
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DOI: https://doi.org/10.1007/s11006-006-0134-3