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On Some Inequalities of Symmetric Means and Mixed Means

By Peng Gao


We improve some inequalities involving the symmetric means. We also prove some\ud mixed-mean inequalities for certain families of means

Topics: 0101 Pure Mathematics, Research Group in Mathematical Inequalities and Applications (RGMIA), Beckenbach-Dresher inequality, inequality of Wang-Wang, mixed-mean inequality, Popoviciu-type inequality, symmetric means
Publisher: School of Communications and Informatics, Faculty of Engineering and Science, Victoria University of Technology
Year: 2005
OAI identifier:

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  12. (1957). Inequalities for symmetric functions and Hermitian matrices,
  13. (1982). Inequalities for symmetric functions and their applications,
  14. (1984). Inequalities of the Rado-Popoviciu type for functions and their applications,
  15. (1952). Inequalities,
  16. (1961). Inequalities, Springer-Verlag,Berlin-G¨ ottingen-Heidelberg
  17. Ky Fan inequality and bounds for differences of means,
  18. (1953). Moment spaces and inequalities,
  19. (2001). On Ky Fan-type inequalities,
  20. (2003). On some analogues of Ky Fan-type inequalities,
  21. (1963). On some inequalities of H. Kober,
  22. (1998). Recent progress in inequalities, Kluwer Acad.
  23. (2004). Some refinements of Ky Fan’s inequality,
  24. (1961). Symmetric means and matrix inequalities,
  25. (1995). The inequality of Ky Fan and related results,

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