SCHUR M-POWER CONVEXITY OF GENERALIZED HAMY SYMMETRIC FUNCTION

被引：7
作者：
Wang, Wen [1 ]
Yang, Shiguo [1 ,2 ]
机构：
[1] Hefei Normal Univ, Dept Math, Hefei 230601, Peoples R China
[2] Anhui Xinhua Univ, Dept Math & Phys, Hefei 230088, Peoples R China
来源：
JOURNAL OF MATHEMATICAL INEQUALITIES | 2014年 / 8卷 / 03期
关键词：
Symmetric function; Schur m-power convexity; hamy symmetric function; GEOMETRICALLY CONCAVITY;
D O I：
10.7153/jmi-08-48
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we investigate the Schur m-power convexity of the generalized hamy symmetric function F-n*(x, r) = Sigma(i1+i2+...+in=r) (x(1)(i1)x(2)(i2)...x(n)(in))(1/r) for x is an element of R-+(n) and r is an element of N with 1 <= r <= n, which generalizes some known results.
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页码：661 / 667
页数：7
相关论文
共 34 条
  • [1] Generalized convexity and inequalities
    Anderson, G. D.
    Vamanamurthy, M. K.
    Vuorinen, M.
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 335 (02) : 1294 - 1308
  • [2] [Anonymous], HDB MEANS THEIRS INE
  • [3] [Anonymous], 2004, Applied inequalities
  • [4] [Anonymous], 1929, Messenger of Math.
  • [5] Bullen P. S, 1998, PITMAN MONOGRAPHS SU, V97
  • [6] Necessary and sufficient conditions such that extended mean values are Schur-convex or Schur-concave
    Chu, Yuming
    Zhang, Xiaoming
    [J]. JOURNAL OF MATHEMATICS OF KYOTO UNIVERSITY, 2008, 48 (01): : 229 - 238
  • [7] Chu YM, 2010, ACTA MATH SCI, V30, P1501
  • [8] Forcina A., 1982, STATISTICA, V42, P529
  • [9] [顾春 GU Chun], 2009, [数学的实践与认识, Mathematics in Practice and Theory], V39, P183
  • [10] Guan KZ, 2007, MATH INEQUAL APPL, V10, P745
1234