• Title of article

    A Note on the Convergence of Random Riemann and Riemann-Stieltjes Sums to the Integral

  • Author/Authors

    Dastranj ، E. - Shahrood University

  • Pages
    6
  • From page
    1
  • To page
    6
  • Abstract
    Convergence in probability of random Riemann sums of a Lebesgue integrable function on [0; 1) to the integral has been proved. In this article we generalize the result to an abstract probability space under some natural conditions and we show L1- convergence rather than convergence in probability..
  • Keywords
    System of partitions , random Riemann Sums , Random Riemann , Stieltjes Sums , L1 Convergence , Integral
  • Journal title
    General Mathematics Notes
  • Serial Year
    2014
  • Journal title
    General Mathematics Notes
  • Record number

    2457621

    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=10&DC=2457621