شماره ركورد كنفرانس :
3502
عنوان مقاله :
Random Riemann stieltjes sums
Author/Authors :
Elham Dastranj School of Mathematics - Shahrood University
كليدواژه :
Random Riemann sums , Random Riemann Stieltjes sums , System of partitions , Almost surely convergence , Lebesgue integral
عنوان كنفرانس :
چهل و پنجمين كنفرانس رياضي ايران
چكيده لاتين :
The concept of the sequence of Random Riemann sums of a Lebesgue integrable function f
on [0, 1) is defined and the almost surely convergence of a special kind of such sequence to the Lebesgue
integral of f has been proved. In this article we introduce the concept of random Riemann Stieltjes sums
and generalize the result to an abstract probability space under some natural conditions.
