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On Generalized Gini Means and Scales of Means

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References

  1. J. Aczél and Z. Daróczy, On measures of information and their characterizations, Mathematics in Science and Engineering, Academic Press, New York, 1975.

    Google Scholar 

  2. J. Aczél and Zs. Páles, The behaviour of means under equal increments of their variables, Amer. Math. Monthly, Vol. 95, No. 9, 1988, 856–860.

    Article  MathSciNet  MATH  Google Scholar 

  3. J.M. Borwein and P.B. Borwein, Pi and the AGM, Wiley, New York, 1987.

    MATH  Google Scholar 

  4. J.L. Brenner and C. Carlson, Homogeneous mean values, weights and asymptotics, J. Math. Anal. Appl., 123,1987, 265–280.

    Article  MathSciNet  MATH  Google Scholar 

  5. P.S. Bullen, Averages still on the move, Math. Mag., to appear.

  6. P.S. Bullen, D.S. Mitrinovic and P.M. Vasic, Means and their inequalities, D. Reidel Publishing Company, Dordrecht-Boston-Lancaster-Tokyo, 1988.

    MATH  Google Scholar 

  7. C. Gini, Di una formula comprensiva delle medie, Metron, 13, 1938, 3–22.

    MATH  Google Scholar 

  8. T. Koski and L.E. Persson, Some properties of generalized entropies with applications to data compression, Journal of Information Sciences (to appear).

  9. L. Losonczi, Subhomogene Mittelwerte, Acta Math. Acad. Sci. Hung., 22, 1971, 187–195.

    Article  MathSciNet  MATH  Google Scholar 

  10. J. Peetre and L.E. Persson, A general Beckenbach’s inequality with applications. In: Function Spaces, Differential Operators and Nonlinear Analysis, Pitman Research Notes in Math. Ser. 211, 1989,125–139.

    MathSciNet  Google Scholar 

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Authors and Affiliations

  1. Dept. of Appl. Math., Luleå University, S-951 87, Luleå, Sweden

    Lars Erik Persson

  2. Dept. of Math., University of Lund, Box 118, S-221 00, Lund, Sweden

    Sigrid Sjöstrand

Authors
  1. Lars Erik Persson
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  2. Sigrid Sjöstrand
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Persson, L.E., Sjöstrand, S. On Generalized Gini Means and Scales of Means. Results. Math. 18, 320–332 (1990). https://doi.org/10.1007/BF03323177

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