Schur convexity of the generalized geometric Bonferroni mean and the relevant inequalities

被引：0
作者：
Huan-Nan Shi
Shan-He Wu
机构：
[1] Longyan University,Department of Mathematics
[2] Beijing Union University,Department of Electronic Information
来源：
Journal of Inequalities and Applications | / 2018卷
关键词：
geometric Bonferroni mean; Schur’s condition; majorization relationship; inequality; 26E60; 26B25;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we discuss the Schur convexity, Schur geometric convexity and Schur harmonic convexity of the generalized geometric Bonferroni mean. Some inequalities related to the generalized geometric Bonferroni mean are established to illustrate the applications of the obtained results.
引用
收藏
相关论文
共 73 条
  • [11] Shi HN(2006)A relation of weak majorization and its applications to certain inequalities for means Math. Inequal. Appl. 9 267-270
  • [12] Zhang J(2011)Generalization and sharpness of power means inequality and their applications Taiwan. J. Math. 15 1279-1286
  • [13] Shi HN(1950)An alternative note on the Schur-convexity of the extended mean values Boll. UMI 5 23-47
  • [14] Zhang J(2009)Schur-convexity of the generalized Heronian means involving two positive numbers Int. J. Approx. Reason. 50 363-381
  • [15] Meng JX(2013)Sulle medie multiple di potenze J. Appl. Math. 2013 2227-2242
  • [16] Chu YM(2012)On generalized Bonferroni mean operators for multi-criteria aggregation Int. J. Intell. Syst. 27 568-578
  • [17] Tang XM(2016)Generalized fuzzy Bonferroni harmonic mean operators and their applications in group decision making Fundam. Inform. 144 2227-2242
  • [18] Zheng NG(2010)Generalized intuitionistic fuzzy Bonferroni means Fuzzy Sets Syst. 161 23-47
  • [19] Zhang ZH(2011)Intuitionistic fuzzy optimized weighted geometric Bonferroni means and their applications in group decision making IEEE Trans. Syst. Man Cybern. B 41 769-776
  • [20] Zhang XM(2010)Generalized Bonferroni mean operators in multicriteria aggregation Fuzzy Sets Syst. 161 1787-1793
12345678