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General inequalities for quasideviation means

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References

  1. Aczél, J. andDaróczy, Z.,Über verallgemeinerte quasilineare Mittelwerte, die mit Gewichts funktionen gebildet sind. Publ. Math. Debrecen10 (1963), 171–190.

    Google Scholar 

  2. Bajraktarevič, M. Sur une equation fonctionelle aux valeurs moyennes. Glasnik Math. Fiz. i Astr.13 (1958), 243–248.

    Google Scholar 

  3. Bajraktarevič, M.,Über die Vergleichbarkeit der mit Gewichtsfunktionen gebildeten Mittelwerte. Studia Sci. Math. Hungar.4 (1969), 3–8.

    Google Scholar 

  4. Beck, E. Über Ungleichungen von der Form f(M ϕ (x; α), M ψ (y; α)) ⩾ M x (f(x,y); α). Univ. Beograd Publ. Elektrotechn. Fak. Ser. Mat. Fiz. No. 320–328 (1970), 1–14.

    Google Scholar 

  5. Beckenbach, E. F.,A class of mean value functions. Amer. Math. Monthly57 (1950), 1–6.

    Google Scholar 

  6. Danskin, J. M.,Dresher's inequality. Amer. Math. Monthly59 (1952), 687–688.

    Google Scholar 

  7. Daróczy, Z.,Einige Ungleichungen über die mit Gewichtsfunktionen gebildeten Mittelwerte. Monatsh. Math.68 (1964), 102–112.

    Google Scholar 

  8. Daróczy, Z.,Über eine Klasse von Mittelwerten. Publ. Math. Debrecen19 (1972), 211–217.

    Google Scholar 

  9. Daróczy, Z.,A general inequality for means. Aequationes Math.7 (1972), 16–21.

    Google Scholar 

  10. Daróczy, Z. andLosonczi, L.,Über den Vergleich von Mittelwerten. Publ. Math. Debrecen17 (1970), 289–297.

    Google Scholar 

  11. Daróczy, Z. andPáles, Zs.,On comparison of mean values. Publ. Math. Debrecen29 (1982), 107–115.

    Google Scholar 

  12. Dresher, M.,Moment spaces and inequalities. Duke Math. J.20 (1953), 261–271.

    Google Scholar 

  13. Hardy, G. H., Littlewood, J. E. andPólya, G. Inequalities. Cambridge University Press, Cambridge, 1952.

    Google Scholar 

  14. Losonczi, L.,Subhomogene Mittelwerte. Acta Math. Hungar.22 (1971), 187–195.

    Google Scholar 

  15. Losonczi, L.,Subadditive Mittelwerte. Arch. Math.22 (1971), 168–174.

    Google Scholar 

  16. Losonczi, L.,Über eine neue Klasse von Mittelwerten. Acta Sci. Math. (Szeged)32 (1971), 71–81.

    Google Scholar 

  17. Losonczi, L.,Inequalities for integral mean values. J. Math. Anal. Appl.61 (1977), 586–606.

    Google Scholar 

  18. Losonczi, L.,Hölder type inequalities. InGeneral inequalities III. (ed. by E. F. Beckenbach and W. Walter), Birkhäuser Verlag, Boston, Stuttgart, Basel, 1983. pp. 91–106.

    Google Scholar 

  19. Páles, Zs.,On Hölder type inequalities. J. Math. Anal. Appl.95 (1983), 457–466.

    Google Scholar 

  20. Páles, Zs.,On a generalization of the Minkowski inequality. J. Math. Anal. Appl.90 (1982), 456–462.

    Google Scholar 

  21. Páles, Zs.,Characterization of quasideviation means. Acta. Math. Sci. Hungar.40 (1982), 243–260.

    Google Scholar 

  22. Páles, Zs., Ph.D. Thesis., Kossuth Univ., Debrecen, 1982.

  23. Rockafellar, R. T.,Convex analysis. Princeton Univ. Press, Princeton, NJ, 1970.

    Google Scholar 

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Páles, Z. General inequalities for quasideviation means. Aeq. Math. 36, 32–56 (1988). https://doi.org/10.1007/BF01837970

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