• Title of article

    Some results on extending and sharpening the Weierstrass product inequalities

  • Author/Authors

    Shanhe Wu، نويسنده ,

  • Issue Information
    دوهفته نامه با شماره پیاپی سال 2005
  • Pages
    14
  • From page
    689
  • To page
    702
  • Abstract
    In this paper, we establish two extensions of Weierstrass’s inequality involving symmetric functions by means of the theory of majorization, and give an interesting sharpness of Weierstrass’s inequality by using the arithmetic–geometric mean inequality. Furthermore, we apply these results to improve a well-known inequality and deduce some new inequalities.  2004 Elsevier Inc. All rights reserved
  • Keywords
    majorization , Elementary symmetric function , Schur-concave function , Weierstrass’s inequality , Arithmetic–geometric mean inequality
  • Journal title
    Journal of Mathematical Analysis and Applications
  • Serial Year
    2005
  • Journal title
    Journal of Mathematical Analysis and Applications
  • Record number

    933999