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Indian Journal of Pure and Applied Mathematics

, Volume 42, Issue 6, pp 493–509 | Cite as

Further randomization of Riemann sums leading to the Lebesgue integral

  • A. Varsei
  • E. Dastranj
Article

Abstract

In this paper we randomize in a particular way the sequence of partitions based on which the random Riemann sums are defined for a Lebesgue integrable function f on (0, 1). Convergence of such sums to the Lebesgue integral of f is investigated.

Key words

Random partitions Riemann sums random Riemann sums Lebesgue integral 

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References

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Copyright information

© The Indian National Science Academy 2011

Authors and Affiliations

  1. 1.Department of Mathematics, Faculty of ScienceUniversity of GuilanRashtIran

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