Araştırma Makalesi

Schur-Convexity for a Class of Completely Symmetric Function Dual

Cilt: 3 Sayı: 2 30 Haziran 2019
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Schur-Convexity for a Class of Completely Symmetric Function Dual

Abstract

By using the decision theorem and properties of the Schur-convex function, the Schur-geometric convex function and the Schur-harmonic function, the Schur- convexity, Schur-geometric convexity and Schur-harmonic convexity of a class of complete symmetric functions are studied. As applications, some symmetric function inequalities are established.

Keywords

Kaynakça

  1. [1] A. W. Marshall, I. Olkin, and B. C. Arnold, Inequalities: Theory of Majorization and Its Application (Second Edition),Springer, New York, 2011.
  2. [2] B. Y. Wang, Foundations of Majorization Inequalities, Beijing Normal University Press, Beijing, 1990. (in Chinese)
  3. [3] X. M. Zhang, Geometrically Convex Functions, An’hui University Press, Hefei, 2004. (in Chinese)
  4. [4] Y. M. Chu, X. M. Zhang, and G. D. Wang, The Schur geometrical convexity of the extended mean values, Journal ofConvex Analysis, 2008, 15(4), 707-718.
  5. [5] K. Z. Guan, A class of symmetric functions for multiplicatively convex function, Mathematical Inequalities & Applications,2007, 10(4), 745-753.
  6. [6] T.-C. Sun, Y.-P. Lv, and Y.-M. Chu, Schur multiplicative and harmonic convexities of generalized Heronian mean in nvariables and their applications, International Journal of Pure and Applied Mathematics, 2009, 55(1), 25-33.
  7. [7] Y. M. Chu, and T. C. Sun, The Schur harmonic convexity for a class of symmetric functions, Acta Mathematica Scientia,2010, 30B(5), 1501-1506.
  8. [8] Y.-M. Chu, G.-D.Wang, and X.-H. Zhang, The Schur multiplicative and harmonic convexities of the complete symmetricfunction, Mathematische Nachrichten, 2011, 284(5-6), 653-663.

Ayrıntılar

Birincil Dil

İngilizce

Konular

Matematik

Bölüm

Araştırma Makalesi

Yazarlar

Huan-Nan Shi * Bu kişi benim
China

Yayımlanma Tarihi

30 Haziran 2019

Gönderilme Tarihi

4 Mart 2019

Kabul Tarihi

6 Haziran 2019

Yayımlandığı Sayı

Yıl 2019 Cilt: 3 Sayı: 2

Kaynak Göster