• Title of article

    Refinements of generalized triangle inequalities

  • Author/Authors

    Chih-Yung Hsu، نويسنده ,

  • Issue Information
    دوهفته نامه با شماره پیاپی سال 2008
  • Pages
    15
  • From page
    17
  • To page
    31
  • Abstract
    In this paper, we discuss refinements of the well-known triangle inequality and it is reverse inequality for strongly integrable functions with values in a Banach space X. We also discuss refinement of a generalized triangle inequality of the second kind for Lp functions. For both cases, the attainability of the equality is also investigated. © 2008 Elsevier Inc. All rights reserved
  • Keywords
    Triangle inequality , Sharp triangle inequality , Reverse triangle inequality , Triangle inequality of the second kind , Strictly convex , Banach space
  • Journal title
    Journal of Mathematical Analysis and Applications
  • Serial Year
    2008
  • Journal title
    Journal of Mathematical Analysis and Applications
  • Record number

    937176