• Title of article

    Refining Jensen’s Integral Inequality for Divisions of Measurable Space

  • Author/Authors

    Sever, Silvestru Dragomir Victoria University

  • Pages
    20
  • From page
    87
  • To page
    106
  • Abstract
    In this paper we establish a refinement and some reverses for Jensen’s inequality for the general Lebesgue integral on divisions of measurable space. Applications for discrete inequalities and weighted means of positive numbers are also given. Some examples related to Hermite-Hadamard inequality for convex functions are provided as well.
  • Keywords
    Jensen’s inequality , convex functions , lebesgue integral , weighted means
  • Journal title
    Astroparticle Physics
  • Serial Year
    2018
  • Record number

    2440714