Further randomization of Riemann sums leading to the Lebesgue integral

A. Varsei () and E. Dastranj ()
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A. Varsei: University of Guilan
E. Dastranj: University of Guilan

Indian Journal of Pure and Applied Mathematics, 2011, vol. 42, issue 6, 493-509

Abstract: 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.

Keywords: Random partitions; Riemann sums; random Riemann sums; Lebesgue integral (search for similar items in EconPapers)
Date: 2011
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DOI: 10.1007/s13226-011-0030-8

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