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Detectable means and applications

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In this paper, we introduce a new concept for bivariate means and we study its properties. Application of this concept for mean-inequal\-ities is also discussed. Open problems are derived as well.

Abstract

In this paper, we introduce a new concept for bivariate means and we study its properties. Application of this concept for mean-inequal\-ities is also discussed. Open problems are derived as well.

참고문헌 (18)

  1. Mira C Anisiu, "The first Seiffert mean is strictly ( G , A ) -super-stabilizable", Journal of Inequalities and Applications, 2014(1) (2014), Springer Science and Business Media LLC[DOI]
  2. P. S. Bullen, "Handbook of Means and Their Inequalities, Mathematics and its Applications, 560" (2003), Kluwer Academic Publishers Group
  3. Y.-M. Chu, "Bounds of the Neuman-S´andor mean using power and identric means", Abstr. Appl. Anal, 2013, pp.832591~832596 (2013)[DOI]
  4. Yu-Ming Chu, "Sharp bounds for Seiffert and Neuman-Sándor means in terms of generalized logarithmic means", Journal of Inequalities and Applications, 2013(1) (2013), Springer Science and Business Media LLC[DOI]
  5. F. Hiai, "Means for matrices and comparison of their norms", Indiana Univ. Math. J, 48(3), pp.899~936 (1999)[DOI]
  6. W.-D. Jiang, "Sharp bounds for Neuman-S´andor’s mean in terms of the rootmean-square", Period. Math. Hungar, 69(2), pp.134~138 (2014)[DOI]
  7. W.-D. Jiang, "Sharp bounds for the Neuman-S´andor mean in terms of the power and contraharmonic means", Cogent Math, 2, pp.995951~995957 (2015)[DOI]
  8. E. Neuman, "On the Schwab-Borchardt mean", Math. Pannon, 14 (2003)
  9. E. Neuman, "On the Schwab-Borchardt mean. II", Math. Pannon, 17(1), pp.49~59 (2006)
  10. M. Ra¨ıssouli, "Stability and stabilizability for means", Appl. Math. E-Notes, 11, pp.159~174 (2011)
  11. M. Ra¨ıssouli, "Stabilizability of the Stolarsky mean and its approximation in terms of the power binomial mean", Int. J. Math. Anal. (Ruse), 6(17-20), pp.871~881 (2012)
  12. M. Ra¨ıssouli, "Refinements for mean-inequalities via the stabilizability concept", J. Ineq. Appl, 2012, pp.26~ (2012)[DOI]
  13. Mustapha Raïssouli, "On a method of construction of new means with applications", Journal of Inequalities and Applications, 2013(1) (2013), Springer Science and Business Media LLC[DOI]
  14. M. Ra¨ıssouli, "Sub-stabilizable and super-stabilizable bivariate means", J. Ineq. Appl, 2014, pp.28~ (2014)
  15. M. Ra¨ıssouli, "Sub-super-stabilizability of certain bivariate means via mean-convexity", J. Inequal. Appl, 2016, pp.273~285 (2016)[DOI]
  16. J. S´andor, "Monotonicity and convexity properties of means", Octogon Math. Mag, 7(2), pp.22~27 (1999)
  17. H. J. Seiffert, "Problem 887", Nieuw Arch. Wisk, 11, pp.176~ (1993)
  18. H. J. Seiffert, "Aufgabe 16", Wurzel, 29, pp.87~ (1995)

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