Sub-stabilizability and super-stabilizability for bivariate means

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• 作者：Mustapha Ra?ssouli (16) (17)
  József Sándor (18)
  
• 关键词：means ; stable means ; stabilizable means ; sub ; stabilizable means ; super ; stabilizable means ; mean ; inequalities
• 刊名：Journal of Inequalities and Applications
• 出版年：2014
• 出版时间：December 2014
• 年：2014
• 卷：2014
• 期：1
• 全文大小：
• 参考文献：1. Bullen PS Mathematics and Its Applications. In / Handbook of Means and Their Inequalities. 2nd edition. Springer, Berlin; 1987.
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• 作者单位：Mustapha Ra?ssouli (16) (17)
  József Sándor (18)
  
  16. Department of Mathematics, Science Faculty, Taibah University, P.O. Box 30097, Al Madinah Al Munawwarah, 41477, Kingdom of Saudi Arabia
  17. Department of Mathematics, Science Faculty, Moulay Ismail University, Meknes, Morocco
  18. Department of Mathematics, Babes-Bolyai University, Str. Kogalniceanu nr. 1, Cluj-Napoca, 400084, Romania
  
• ISSN：1029-242X

文摘

The stability and stabilizability concepts for means in two variables have been introduced in (Ra?ssouli in Appl. Math. E-Notes 11:159-174, 2011). It has been proved that the arithmetic, geometric, and harmonic means are stable, while the logarithmic and identric means are stabilizable. In the present paper, we introduce new concepts, the so-called sub-stabilizability and super-stabilizability, and we apply them to some standard means. MSC: 26E60.