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Some properties for a class of symmetric functions with applications

Author

Listed:
  • Wei-Feng Xia

    (Huzhou Teachers College)

  • Xiao-Hui Zhan

    (Huzhou Teachers College)

  • Gen-Di Wang

    (Huzhou Teachers College)

  • Yu-Ming Chu

    (Huzhou Teachers College)

Abstract

For x = (x 1, x 2, ..., x n ) ∈ ℝ + n , the symmetric function ψ n (x, r) is defined by $$\psi _n (x,r) = \psi _n \left( {x_1 ,x_2 , \cdots ,x_n ;r} \right) = \sum\limits_{1 \leqslant i_1

Suggested Citation

  • Wei-Feng Xia & Xiao-Hui Zhan & Gen-Di Wang & Yu-Ming Chu, 2012. "Some properties for a class of symmetric functions with applications," Indian Journal of Pure and Applied Mathematics, Springer, vol. 43(3), pages 227-249, June.
    • Handle: RePEc:spr:indpam:v:43:y:2012:i:3:d:10.1007_s13226-012-0012-5
    DOI: 10.1007/s13226-012-0012-5
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    References listed on IDEAS

    as
    1. Chu, Yu-Ming & Xia, Wei-Feng & Zhang, Xiao-Hui, 2012. "The Schur concavity, Schur multiplicative and harmonic convexities of the second dual form of the Hamy symmetric function with applications," Journal of Multivariate Analysis, Elsevier, vol. 105(1), pages 412-421.
    2. Shaked, M. & Shanthikumar, J. G. & Tong, Y. L., 1995. "Parametric Schur Convexity and Arrangement Monotonicity Properties of Partial Sums," Journal of Multivariate Analysis, Elsevier, vol. 53(2), pages 293-310, May.
    3. Frank K. Hwang & Uriel G. Rothblum, 1993. "Majorization and Schur Convexity with Respect to Partial Orders," Mathematics of Operations Research, INFORMS, vol. 18(4), pages 928-944, November.
    Full references (including those not matched with items on IDEAS)

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