EN
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] A. W. Marshall, I. Olkin, and B. C. Arnold, Inequalities: Theory of Majorization and Its Application (Second Edition),Springer, New York, 2011.
- [2] B. Y. Wang, Foundations of Majorization Inequalities, Beijing Normal University Press, Beijing, 1990. (in Chinese)
- [3] X. M. Zhang, Geometrically Convex Functions, An’hui University Press, Hefei, 2004. (in Chinese)
- [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] K. Z. Guan, A class of symmetric functions for multiplicatively convex function, Mathematical Inequalities & Applications,2007, 10(4), 745-753.
- [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] 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] 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
Yayımlanma Tarihi
30 Haziran 2019
Gönderilme Tarihi
4 Mart 2019
Kabul Tarihi
6 Haziran 2019
Yayımlandığı Sayı
Yıl 2019 Cilt: 3 Sayı: 2