Schur–convexity, Schur Geometric and Schur Harmonic Convexities of Dual Form of a Class Symmetric Functions

نویسندگان

  • HUAN-NAN SHI
  • JING ZHANG
  • X. M. ZHANG
  • J. ZHANG
  • S. H. WANG
  • T. Y. ZHANG
چکیده

By the properties of Schur-convex function, Schur geometrically convex function and Schur harmonically convex function, Schur-convexity, Schur geometric and Schur harmonic convexities of the dual form for a class of symmetric functions are simply proved. As an application, several inequalities are obtained, some of which extend the known ones. Mathematics subject classification (2010): 26D15, 05E05, 26B25.

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تاریخ انتشار 2014