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Schur Convexity for a Class of Symmetric Functions

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Information Computing and Applications (ICICA 2011)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 243))

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Abstract

The Schur-convex function was introduced by I. Schur in 1923, and it has many important applications in analytic inequalities, generalized means, statistics experiment, chart and matrix, combinatorial optimization, reliability, information security, random sorting, etc. So it is important that Schur-convexity for symmetric functions of several variables is researched. In this paper, Guan’s symmetric function was improved, and a class of symmetric functions were derived. By so-called Schur’s condition, Schur-convexity and Schur-geometric convexity and Schur-harmonic convexity are studied for a class of symmetric functions.

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Author information

Authors and Affiliations

  1. College of Mathematics, Inner Mongolia University for Nationalities, Tongliao City, Inner Mongolia Autonomous Region, 028043, China

    Shu-hong Wang, Tian-yu Zhang & Bo-yan Xi

Authors
  1. Shu-hong Wang
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  2. Tian-yu Zhang
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  3. Bo-yan Xi
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Editor information

Editors and Affiliations

  1. College of Sciences, Hebei United University, 063000, Tangshan, Hebei, China

    Chunfeng Liu , Jincai Chang  & Aimin Yang ,  & 

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© 2011 Springer-Verlag Berlin Heidelberg

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Wang, Sh., Zhang, Ty., Xi, By. (2011). Schur Convexity for a Class of Symmetric Functions. In: Liu, C., Chang, J., Yang, A. (eds) Information Computing and Applications. ICICA 2011. Communications in Computer and Information Science, vol 243. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-27503-6_86

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  • DOI: https://doi.org/10.1007/978-3-642-27503-6_86

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-27502-9

  • Online ISBN: 978-3-642-27503-6

  • eBook Packages: Computer ScienceComputer Science (R0)

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